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Finding the Third Proportional to 136,540.69 and 297,046.69

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Solution

The third proportional to 136,540.69 and 297,046.69 is: 646,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,540.69 : 297,046.69 = 297,046.69 : x
  2. Step 2: Convert to fraction form
    136,540.69/297,046.69 = 297,046.69/x
  3. Step 3: Cross multiply
    136,540.69x = 297,046.69 × 297,046.69
  4. Step 4: Simplify right side
    136,540.69x = 88,236,734,554.72
  5. Step 5: Solve for x
    x = 88,236,734,554.72/136,540.69
  6. Step 6: Final answer
    x = 646,230.34

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