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Finding the Third Proportional to 172,534 and 375,441

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Solution

The third proportional to 172,534 and 375,441 is: 816,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,534 : 375,441 = 375,441 : x
  2. Step 2: Convert to fraction form
    172,534/375,441 = 375,441/x
  3. Step 3: Cross multiply
    172,534x = 375,441 × 375,441
  4. Step 4: Simplify right side
    172,534x = 140,955,944,481
  5. Step 5: Solve for x
    x = 140,955,944,481/172,534
  6. Step 6: Final answer
    x = 816,974.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.