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Finding the Third Proportional to 82,394 and 180,830

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Solution

The third proportional to 82,394 and 180,830 is: 396,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394 : 180,830 = 180,830 : x
  2. Step 2: Convert to fraction form
    82,394/180,830 = 180,830/x
  3. Step 3: Cross multiply
    82,394x = 180,830 × 180,830
  4. Step 4: Simplify right side
    82,394x = 32,699,488,900
  5. Step 5: Solve for x
    x = 32,699,488,900/82,394
  6. Step 6: Final answer
    x = 396,867.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.