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Finding the Third Proportional to 172,884.38 and 377,291.25

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Solution

The third proportional to 172,884.38 and 377,291.25 is: 823,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,884.38 : 377,291.25 = 377,291.25 : x
  2. Step 2: Convert to fraction form
    172,884.38/377,291.25 = 377,291.25/x
  3. Step 3: Cross multiply
    172,884.38x = 377,291.25 × 377,291.25
  4. Step 4: Simplify right side
    172,884.38x = 142,348,687,326.56
  5. Step 5: Solve for x
    x = 142,348,687,326.56/172,884.38
  6. Step 6: Final answer
    x = 823,375.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.