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Finding the Third Proportional to 177,366.38 and 275,376.38

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Solution

The third proportional to 177,366.38 and 275,376.38 is: 427,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,366.38 : 275,376.38 = 275,376.38 : x
  2. Step 2: Convert to fraction form
    177,366.38/275,376.38 = 275,376.38/x
  3. Step 3: Cross multiply
    177,366.38x = 275,376.38 × 275,376.38
  4. Step 4: Simplify right side
    177,366.38x = 75,832,147,908.14
  5. Step 5: Solve for x
    x = 75,832,147,908.14/177,366.38
  6. Step 6: Final answer
    x = 427,545.23

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Why These Related Problems?

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