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Finding the Third Proportional to 84,446 and 179,262

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Solution

The third proportional to 84,446 and 179,262 is: 380,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,446 : 179,262 = 179,262 : x
  2. Step 2: Convert to fraction form
    84,446/179,262 = 179,262/x
  3. Step 3: Cross multiply
    84,446x = 179,262 × 179,262
  4. Step 4: Simplify right side
    84,446x = 32,134,864,644
  5. Step 5: Solve for x
    x = 32,134,864,644/84,446
  6. Step 6: Final answer
    x = 380,537.44

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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.