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Finding the Third Proportional to 104,691 and 230,118

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Solution

The third proportional to 104,691 and 230,118 is: 505,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691 : 230,118 = 230,118 : x
  2. Step 2: Convert to fraction form
    104,691/230,118 = 230,118/x
  3. Step 3: Cross multiply
    104,691x = 230,118 × 230,118
  4. Step 4: Simplify right side
    104,691x = 52,954,293,924
  5. Step 5: Solve for x
    x = 52,954,293,924/104,691
  6. Step 6: Final answer
    x = 505,815.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.