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Finding the Third Proportional to 178,287 and 391,562

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Solution

The third proportional to 178,287 and 391,562 is: 859,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,287 : 391,562 = 391,562 : x
  2. Step 2: Convert to fraction form
    178,287/391,562 = 391,562/x
  3. Step 3: Cross multiply
    178,287x = 391,562 × 391,562
  4. Step 4: Simplify right side
    178,287x = 153,320,799,844
  5. Step 5: Solve for x
    x = 153,320,799,844/178,287
  6. Step 6: Final answer
    x = 859,966.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.