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Finding the Third Proportional to 157,612 and 231,228

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Solution

The third proportional to 157,612 and 231,228 is: 339,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,612 : 231,228 = 231,228 : x
  2. Step 2: Convert to fraction form
    157,612/231,228 = 231,228/x
  3. Step 3: Cross multiply
    157,612x = 231,228 × 231,228
  4. Step 4: Simplify right side
    157,612x = 53,466,387,984
  5. Step 5: Solve for x
    x = 53,466,387,984/157,612
  6. Step 6: Final answer
    x = 339,227.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.