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Finding the Third Proportional to 123,761.25 and 298,045.13

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Solution

The third proportional to 123,761.25 and 298,045.13 is: 717,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,761.25 : 298,045.13 = 298,045.13 : x
  2. Step 2: Convert to fraction form
    123,761.25/298,045.13 = 298,045.13/x
  3. Step 3: Cross multiply
    123,761.25x = 298,045.13 × 298,045.13
  4. Step 4: Simplify right side
    123,761.25x = 88,830,896,536.27
  5. Step 5: Solve for x
    x = 88,830,896,536.27/123,761.25
  6. Step 6: Final answer
    x = 717,760.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.