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Finding the Third Proportional to 136,540.13 and 297,046.13

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Solution

The third proportional to 136,540.13 and 297,046.13 is: 646,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,540.13 : 297,046.13 = 297,046.13 : x
  2. Step 2: Convert to fraction form
    136,540.13/297,046.13 = 297,046.13/x
  3. Step 3: Cross multiply
    136,540.13x = 297,046.13 × 297,046.13
  4. Step 4: Simplify right side
    136,540.13x = 88,236,400,377.52
  5. Step 5: Solve for x
    x = 88,236,400,377.52/136,540.13
  6. Step 6: Final answer
    x = 646,230.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.