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Finding the Third Proportional to 161,331 and 250,623

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Solution

The third proportional to 161,331 and 250,623 is: 389,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,331 : 250,623 = 250,623 : x
  2. Step 2: Convert to fraction form
    161,331/250,623 = 250,623/x
  3. Step 3: Cross multiply
    161,331x = 250,623 × 250,623
  4. Step 4: Simplify right side
    161,331x = 62,811,888,129
  5. Step 5: Solve for x
    x = 62,811,888,129/161,331
  6. Step 6: Final answer
    x = 389,335.52

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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.