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Finding the Third Proportional to 136,461 and 296,232

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Solution

The third proportional to 136,461 and 296,232 is: 643,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461 : 296,232 = 296,232 : x
  2. Step 2: Convert to fraction form
    136,461/296,232 = 296,232/x
  3. Step 3: Cross multiply
    136,461x = 296,232 × 296,232
  4. Step 4: Simplify right side
    136,461x = 87,753,397,824
  5. Step 5: Solve for x
    x = 87,753,397,824/136,461
  6. Step 6: Final answer
    x = 643,065.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.