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Finding the Third Proportional to 172,493 and 237,526

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Solution

The third proportional to 172,493 and 237,526 is: 327,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,493 : 237,526 = 237,526 : x
  2. Step 2: Convert to fraction form
    172,493/237,526 = 237,526/x
  3. Step 3: Cross multiply
    172,493x = 237,526 × 237,526
  4. Step 4: Simplify right side
    172,493x = 56,418,600,676
  5. Step 5: Solve for x
    x = 56,418,600,676/172,493
  6. Step 6: Final answer
    x = 327,077.62

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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.