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Finding the Third Proportional to 169,750 and 372,142

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Solution

The third proportional to 169,750 and 372,142 is: 815,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,750 : 372,142 = 372,142 : x
  2. Step 2: Convert to fraction form
    169,750/372,142 = 372,142/x
  3. Step 3: Cross multiply
    169,750x = 372,142 × 372,142
  4. Step 4: Simplify right side
    169,750x = 138,489,668,164
  5. Step 5: Solve for x
    x = 138,489,668,164/169,750
  6. Step 6: Final answer
    x = 815,844.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.