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Finding the Third Proportional to 267,625.13 and 364,521.75

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Solution

The third proportional to 267,625.13 and 364,521.75 is: 496,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,625.13 : 364,521.75 = 364,521.75 : x
  2. Step 2: Convert to fraction form
    267,625.13/364,521.75 = 364,521.75/x
  3. Step 3: Cross multiply
    267,625.13x = 364,521.75 × 364,521.75
  4. Step 4: Simplify right side
    267,625.13x = 132,876,106,223.06
  5. Step 5: Solve for x
    x = 132,876,106,223.06/267,625.13
  6. Step 6: Final answer
    x = 496,500.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.