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Finding the Third Proportional to 172,098.42 and 372,799.13

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Solution

The third proportional to 172,098.42 and 372,799.13 is: 807,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,098.42 : 372,799.13 = 372,799.13 : x
  2. Step 2: Convert to fraction form
    172,098.42/372,799.13 = 372,799.13/x
  3. Step 3: Cross multiply
    172,098.42x = 372,799.13 × 372,799.13
  4. Step 4: Simplify right side
    172,098.42x = 138,979,187,600.77
  5. Step 5: Solve for x
    x = 138,979,187,600.77/172,098.42
  6. Step 6: Final answer
    x = 807,556.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.