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Finding the Third Proportional to 172,522 and 237,567

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Solution

The third proportional to 172,522 and 237,567 is: 327,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,522 : 237,567 = 237,567 : x
  2. Step 2: Convert to fraction form
    172,522/237,567 = 237,567/x
  3. Step 3: Cross multiply
    172,522x = 237,567 × 237,567
  4. Step 4: Simplify right side
    172,522x = 56,438,079,489
  5. Step 5: Solve for x
    x = 56,438,079,489/172,522
  6. Step 6: Final answer
    x = 327,135.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.