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Finding the Third Proportional to 82,189 and 176,863

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Solution

The third proportional to 82,189 and 176,863 is: 380,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,189 : 176,863 = 176,863 : x
  2. Step 2: Convert to fraction form
    82,189/176,863 = 176,863/x
  3. Step 3: Cross multiply
    82,189x = 176,863 × 176,863
  4. Step 4: Simplify right side
    82,189x = 31,280,520,769
  5. Step 5: Solve for x
    x = 31,280,520,769/82,189
  6. Step 6: Final answer
    x = 380,592.55

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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.