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Finding the Third Proportional to 80,300.50 and 172,934

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Solution

The third proportional to 80,300.50 and 172,934 is: 372,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,300.50 : 172,934 = 172,934 : x
  2. Step 2: Convert to fraction form
    80,300.50/172,934 = 172,934/x
  3. Step 3: Cross multiply
    80,300.50x = 172,934 × 172,934
  4. Step 4: Simplify right side
    80,300.50x = 29,906,168,356
  5. Step 5: Solve for x
    x = 29,906,168,356/80,300.50
  6. Step 6: Final answer
    x = 372,428.17

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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.