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Finding the Third Proportional to 85,882 and 184,464

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Solution

The third proportional to 85,882 and 184,464 is: 396,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882 : 184,464 = 184,464 : x
  2. Step 2: Convert to fraction form
    85,882/184,464 = 184,464/x
  3. Step 3: Cross multiply
    85,882x = 184,464 × 184,464
  4. Step 4: Simplify right side
    85,882x = 34,026,967,296
  5. Step 5: Solve for x
    x = 34,026,967,296/85,882
  6. Step 6: Final answer
    x = 396,206.04

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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.