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Finding the Third Proportional to 175,866 and 272,723

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Solution

The third proportional to 175,866 and 272,723 is: 422,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,866 : 272,723 = 272,723 : x
  2. Step 2: Convert to fraction form
    175,866/272,723 = 272,723/x
  3. Step 3: Cross multiply
    175,866x = 272,723 × 272,723
  4. Step 4: Simplify right side
    175,866x = 74,377,834,729
  5. Step 5: Solve for x
    x = 74,377,834,729/175,866
  6. Step 6: Final answer
    x = 422,923.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.