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Finding the Third Proportional to 157,526 and 252,691

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Solution

The third proportional to 157,526 and 252,691 is: 405,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,526 : 252,691 = 252,691 : x
  2. Step 2: Convert to fraction form
    157,526/252,691 = 252,691/x
  3. Step 3: Cross multiply
    157,526x = 252,691 × 252,691
  4. Step 4: Simplify right side
    157,526x = 63,852,741,481
  5. Step 5: Solve for x
    x = 63,852,741,481/157,526
  6. Step 6: Final answer
    x = 405,347.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.