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Finding the Third Proportional to 84,624 and 180,115

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Solution

The third proportional to 84,624 and 180,115 is: 383,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624 : 180,115 = 180,115 : x
  2. Step 2: Convert to fraction form
    84,624/180,115 = 180,115/x
  3. Step 3: Cross multiply
    84,624x = 180,115 × 180,115
  4. Step 4: Simplify right side
    84,624x = 32,441,413,225
  5. Step 5: Solve for x
    x = 32,441,413,225/84,624
  6. Step 6: Final answer
    x = 383,359.49

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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.