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Finding the Third Proportional to 177,898.78 and 260,560.55

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Solution

The third proportional to 177,898.78 and 260,560.55 is: 381,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,898.78 : 260,560.55 = 260,560.55 : x
  2. Step 2: Convert to fraction form
    177,898.78/260,560.55 = 260,560.55/x
  3. Step 3: Cross multiply
    177,898.78x = 260,560.55 × 260,560.55
  4. Step 4: Simplify right side
    177,898.78x = 67,891,798,587.80
  5. Step 5: Solve for x
    x = 67,891,798,587.80/177,898.78
  6. Step 6: Final answer
    x = 381,631.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.