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Finding the Third Proportional to 85,567 and 182,217

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Solution

The third proportional to 85,567 and 182,217 is: 388,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,567 : 182,217 = 182,217 : x
  2. Step 2: Convert to fraction form
    85,567/182,217 = 182,217/x
  3. Step 3: Cross multiply
    85,567x = 182,217 × 182,217
  4. Step 4: Simplify right side
    85,567x = 33,203,035,089
  5. Step 5: Solve for x
    x = 33,203,035,089/85,567
  6. Step 6: Final answer
    x = 388,035.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.