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Finding the Third Proportional to 172,046.85 and 378,128.88

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Solution

The third proportional to 172,046.85 and 378,128.88 is: 831,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046.85 : 378,128.88 = 378,128.88 : x
  2. Step 2: Convert to fraction form
    172,046.85/378,128.88 = 378,128.88/x
  3. Step 3: Cross multiply
    172,046.85x = 378,128.88 × 378,128.88
  4. Step 4: Simplify right side
    172,046.85x = 142,981,452,017.03
  5. Step 5: Solve for x
    x = 142,981,452,017.03/172,046.85
  6. Step 6: Final answer
    x = 831,061.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.