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Finding the Third Proportional to 174,517.88 and 280,000.13

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Solution

The third proportional to 174,517.88 and 280,000.13 is: 449,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,517.88 : 280,000.13 = 280,000.13 : x
  2. Step 2: Convert to fraction form
    174,517.88/280,000.13 = 280,000.13/x
  3. Step 3: Cross multiply
    174,517.88x = 280,000.13 × 280,000.13
  4. Step 4: Simplify right side
    174,517.88x = 78,400,070,000.02
  5. Step 5: Solve for x
    x = 78,400,070,000.02/174,517.88
  6. Step 6: Final answer
    x = 449,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.