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Finding the Third Proportional to 157,298,160 and 240,737,256

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Solution

The third proportional to 157,298,160 and 240,737,256 is: 368,436,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298,160 : 240,737,256 = 240,737,256 : x
  2. Step 2: Convert to fraction form
    157,298,160/240,737,256 = 240,737,256/x
  3. Step 3: Cross multiply
    157,298,160x = 240,737,256 × 240,737,256
  4. Step 4: Simplify right side
    157,298,160x = 57,954,426,426,409,536
  5. Step 5: Solve for x
    x = 57,954,426,426,409,536/157,298,160
  6. Step 6: Final answer
    x = 368,436,772.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.