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Finding the Third Proportional to 157,868 and 338,128

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Solution

The third proportional to 157,868 and 338,128 is: 724,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,868 : 338,128 = 338,128 : x
  2. Step 2: Convert to fraction form
    157,868/338,128 = 338,128/x
  3. Step 3: Cross multiply
    157,868x = 338,128 × 338,128
  4. Step 4: Simplify right side
    157,868x = 114,330,544,384
  5. Step 5: Solve for x
    x = 114,330,544,384/157,868
  6. Step 6: Final answer
    x = 724,216.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.