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Finding the Third Proportional to 177,614 and 250,147

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Solution

The third proportional to 177,614 and 250,147 is: 352,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,614 : 250,147 = 250,147 : x
  2. Step 2: Convert to fraction form
    177,614/250,147 = 250,147/x
  3. Step 3: Cross multiply
    177,614x = 250,147 × 250,147
  4. Step 4: Simplify right side
    177,614x = 62,573,521,609
  5. Step 5: Solve for x
    x = 62,573,521,609/177,614
  6. Step 6: Final answer
    x = 352,300.62

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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.