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Finding the Third Proportional to 80,462.25 and 171,319.50

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Solution

The third proportional to 80,462.25 and 171,319.50 is: 364,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,462.25 : 171,319.50 = 171,319.50 : x
  2. Step 2: Convert to fraction form
    80,462.25/171,319.50 = 171,319.50/x
  3. Step 3: Cross multiply
    80,462.25x = 171,319.50 × 171,319.50
  4. Step 4: Simplify right side
    80,462.25x = 29,350,371,080.25
  5. Step 5: Solve for x
    x = 29,350,371,080.25/80,462.25
  6. Step 6: Final answer
    x = 364,771.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.