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Finding the Third Proportional to 80,628 and 167,793

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Solution

The third proportional to 80,628 and 167,793 is: 349,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,628 : 167,793 = 167,793 : x
  2. Step 2: Convert to fraction form
    80,628/167,793 = 167,793/x
  3. Step 3: Cross multiply
    80,628x = 167,793 × 167,793
  4. Step 4: Simplify right side
    80,628x = 28,154,490,849
  5. Step 5: Solve for x
    x = 28,154,490,849/80,628
  6. Step 6: Final answer
    x = 349,189.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.