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Finding the Third Proportional to 84,486 and 179,292

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Solution

The third proportional to 84,486 and 179,292 is: 380,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,486 : 179,292 = 179,292 : x
  2. Step 2: Convert to fraction form
    84,486/179,292 = 179,292/x
  3. Step 3: Cross multiply
    84,486x = 179,292 × 179,292
  4. Step 4: Simplify right side
    84,486x = 32,145,621,264
  5. Step 5: Solve for x
    x = 32,145,621,264/84,486
  6. Step 6: Final answer
    x = 380,484.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.