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Finding the Third Proportional to 82,481 and 183,850

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Solution

The third proportional to 82,481 and 183,850 is: 409,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481 : 183,850 = 183,850 : x
  2. Step 2: Convert to fraction form
    82,481/183,850 = 183,850/x
  3. Step 3: Cross multiply
    82,481x = 183,850 × 183,850
  4. Step 4: Simplify right side
    82,481x = 33,800,822,500
  5. Step 5: Solve for x
    x = 33,800,822,500/82,481
  6. Step 6: Final answer
    x = 409,801.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.