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Finding the Third Proportional to 176,104.50 and 267,520.50

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Solution

The third proportional to 176,104.50 and 267,520.50 is: 406,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,104.50 : 267,520.50 = 267,520.50 : x
  2. Step 2: Convert to fraction form
    176,104.50/267,520.50 = 267,520.50/x
  3. Step 3: Cross multiply
    176,104.50x = 267,520.50 × 267,520.50
  4. Step 4: Simplify right side
    176,104.50x = 71,567,217,920.25
  5. Step 5: Solve for x
    x = 71,567,217,920.25/176,104.50
  6. Step 6: Final answer
    x = 406,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.