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Finding the Third Proportional to 155,297.25 and 332,727.75

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Solution

The third proportional to 155,297.25 and 332,727.75 is: 712,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,297.25 : 332,727.75 = 332,727.75 : x
  2. Step 2: Convert to fraction form
    155,297.25/332,727.75 = 332,727.75/x
  3. Step 3: Cross multiply
    155,297.25x = 332,727.75 × 332,727.75
  4. Step 4: Simplify right side
    155,297.25x = 110,707,755,620.06
  5. Step 5: Solve for x
    x = 110,707,755,620.06/155,297.25
  6. Step 6: Final answer
    x = 712,876.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.