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Finding the Third Proportional to 185,272.31 and 406,630.13

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Solution

The third proportional to 185,272.31 and 406,630.13 is: 892,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,272.31 : 406,630.13 = 406,630.13 : x
  2. Step 2: Convert to fraction form
    185,272.31/406,630.13 = 406,630.13/x
  3. Step 3: Cross multiply
    185,272.31x = 406,630.13 × 406,630.13
  4. Step 4: Simplify right side
    185,272.31x = 165,348,058,557.52
  5. Step 5: Solve for x
    x = 165,348,058,557.52/185,272.31
  6. Step 6: Final answer
    x = 892,459.63

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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.