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Finding the Third Proportional to 157,522 and 252,685

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Solution

The third proportional to 157,522 and 252,685 is: 405,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,522 : 252,685 = 252,685 : x
  2. Step 2: Convert to fraction form
    157,522/252,685 = 252,685/x
  3. Step 3: Cross multiply
    157,522x = 252,685 × 252,685
  4. Step 4: Simplify right side
    157,522x = 63,849,709,225
  5. Step 5: Solve for x
    x = 63,849,709,225/157,522
  6. Step 6: Final answer
    x = 405,338.36

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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.