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Finding the Third Proportional to 120,862.13 and 264,961.13

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Solution

The third proportional to 120,862.13 and 264,961.13 is: 580,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,862.13 : 264,961.13 = 264,961.13 : x
  2. Step 2: Convert to fraction form
    120,862.13/264,961.13 = 264,961.13/x
  3. Step 3: Cross multiply
    120,862.13x = 264,961.13 × 264,961.13
  4. Step 4: Simplify right side
    120,862.13x = 70,204,397,761.27
  5. Step 5: Solve for x
    x = 70,204,397,761.27/120,862.13
  6. Step 6: Final answer
    x = 580,863.51

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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.