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Finding the Third Proportional to 113,531.38 and 267,625.25

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Solution

The third proportional to 113,531.38 and 267,625.25 is: 630,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,531.38 : 267,625.25 = 267,625.25 : x
  2. Step 2: Convert to fraction form
    113,531.38/267,625.25 = 267,625.25/x
  3. Step 3: Cross multiply
    113,531.38x = 267,625.25 × 267,625.25
  4. Step 4: Simplify right side
    113,531.38x = 71,623,274,437.56
  5. Step 5: Solve for x
    x = 71,623,274,437.56/113,531.38
  6. Step 6: Final answer
    x = 630,867.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.