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Finding the Third Proportional to 137,234.25 and 267,603.75

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Solution

The third proportional to 137,234.25 and 267,603.75 is: 521,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.25 : 267,603.75 = 267,603.75 : x
  2. Step 2: Convert to fraction form
    137,234.25/267,603.75 = 267,603.75/x
  3. Step 3: Cross multiply
    137,234.25x = 267,603.75 × 267,603.75
  4. Step 4: Simplify right side
    137,234.25x = 71,611,767,014.06
  5. Step 5: Solve for x
    x = 71,611,767,014.06/137,234.25
  6. Step 6: Final answer
    x = 521,821.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.