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Finding the Third Proportional to 220,321.41 and 297,265.78

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Solution

The third proportional to 220,321.41 and 297,265.78 is: 401,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,321.41 : 297,265.78 = 297,265.78 : x
  2. Step 2: Convert to fraction form
    220,321.41/297,265.78 = 297,265.78/x
  3. Step 3: Cross multiply
    220,321.41x = 297,265.78 × 297,265.78
  4. Step 4: Simplify right side
    220,321.41x = 88,366,944,702.17
  5. Step 5: Solve for x
    x = 88,366,944,702.17/220,321.41
  6. Step 6: Final answer
    x = 401,081.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.