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Finding the Third Proportional to 172,034.25 and 404,761.13

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Solution

The third proportional to 172,034.25 and 404,761.13 is: 952,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,034.25 : 404,761.13 = 404,761.13 : x
  2. Step 2: Convert to fraction form
    172,034.25/404,761.13 = 404,761.13/x
  3. Step 3: Cross multiply
    172,034.25x = 404,761.13 × 404,761.13
  4. Step 4: Simplify right side
    172,034.25x = 163,831,568,311.27
  5. Step 5: Solve for x
    x = 163,831,568,311.27/172,034.25
  6. Step 6: Final answer
    x = 952,319.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.