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Finding the Third Proportional to 80,223 and 172,882.50

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Solution

The third proportional to 80,223 and 172,882.50 is: 372,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,223 : 172,882.50 = 172,882.50 : x
  2. Step 2: Convert to fraction form
    80,223/172,882.50 = 172,882.50/x
  3. Step 3: Cross multiply
    80,223x = 172,882.50 × 172,882.50
  4. Step 4: Simplify right side
    80,223x = 29,888,358,806.25
  5. Step 5: Solve for x
    x = 29,888,358,806.25/80,223
  6. Step 6: Final answer
    x = 372,565.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.