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Finding the Third Proportional to 178,277.25 and 391,542

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Solution

The third proportional to 178,277.25 and 391,542 is: 859,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,277.25 : 391,542 = 391,542 : x
  2. Step 2: Convert to fraction form
    178,277.25/391,542 = 391,542/x
  3. Step 3: Cross multiply
    178,277.25x = 391,542 × 391,542
  4. Step 4: Simplify right side
    178,277.25x = 153,305,137,764
  5. Step 5: Solve for x
    x = 153,305,137,764/178,277.25
  6. Step 6: Final answer
    x = 859,925.41

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