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Finding the Third Proportional to 171,451.69 and 416,031.19

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Solution

The third proportional to 171,451.69 and 416,031.19 is: 1,009,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 416,031.19 = 416,031.19 : x
  2. Step 2: Convert to fraction form
    171,451.69/416,031.19 = 416,031.19/x
  3. Step 3: Cross multiply
    171,451.69x = 416,031.19 × 416,031.19
  4. Step 4: Simplify right side
    171,451.69x = 173,081,948,972.66
  5. Step 5: Solve for x
    x = 173,081,948,972.66/171,451.69
  6. Step 6: Final answer
    x = 1,009,508.58

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.