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Finding the Third Proportional to 80,150 and 172,360

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Solution

The third proportional to 80,150 and 172,360 is: 370,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,150 : 172,360 = 172,360 : x
  2. Step 2: Convert to fraction form
    80,150/172,360 = 172,360/x
  3. Step 3: Cross multiply
    80,150x = 172,360 × 172,360
  4. Step 4: Simplify right side
    80,150x = 29,707,969,600
  5. Step 5: Solve for x
    x = 29,707,969,600/80,150
  6. Step 6: Final answer
    x = 370,654.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.