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Finding the Third Proportional to 177,366.75 and 260,863.13

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Solution

The third proportional to 177,366.75 and 260,863.13 is: 383,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,366.75 : 260,863.13 = 260,863.13 : x
  2. Step 2: Convert to fraction form
    177,366.75/260,863.13 = 260,863.13/x
  3. Step 3: Cross multiply
    177,366.75x = 260,863.13 × 260,863.13
  4. Step 4: Simplify right side
    177,366.75x = 68,049,569,984.77
  5. Step 5: Solve for x
    x = 68,049,569,984.77/177,366.75
  6. Step 6: Final answer
    x = 383,665.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.