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Finding the Third Proportional to 177,608.32 and 250,138.13

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Solution

The third proportional to 177,608.32 and 250,138.13 is: 352,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,608.32 : 250,138.13 = 250,138.13 : x
  2. Step 2: Convert to fraction form
    177,608.32/250,138.13 = 250,138.13/x
  3. Step 3: Cross multiply
    177,608.32x = 250,138.13 × 250,138.13
  4. Step 4: Simplify right side
    177,608.32x = 62,569,081,578.52
  5. Step 5: Solve for x
    x = 62,569,081,578.52/177,608.32
  6. Step 6: Final answer
    x = 352,286.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.