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Finding the Third Proportional to 84,624 and 180,116

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Solution

The third proportional to 84,624 and 180,116 is: 383,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624 : 180,116 = 180,116 : x
  2. Step 2: Convert to fraction form
    84,624/180,116 = 180,116/x
  3. Step 3: Cross multiply
    84,624x = 180,116 × 180,116
  4. Step 4: Simplify right side
    84,624x = 32,441,773,456
  5. Step 5: Solve for x
    x = 32,441,773,456/84,624
  6. Step 6: Final answer
    x = 383,363.74

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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.