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Finding the Third Proportional to 104,691 and 229,319.25

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Solution

The third proportional to 104,691 and 229,319.25 is: 502,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691 : 229,319.25 = 229,319.25 : x
  2. Step 2: Convert to fraction form
    104,691/229,319.25 = 229,319.25/x
  3. Step 3: Cross multiply
    104,691x = 229,319.25 × 229,319.25
  4. Step 4: Simplify right side
    104,691x = 52,587,318,420.56
  5. Step 5: Solve for x
    x = 52,587,318,420.56/104,691
  6. Step 6: Final answer
    x = 502,309.83

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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.