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Finding the Third Proportional to 84,704 and 180,670

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Solution

The third proportional to 84,704 and 180,670 is: 385,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,704 : 180,670 = 180,670 : x
  2. Step 2: Convert to fraction form
    84,704/180,670 = 180,670/x
  3. Step 3: Cross multiply
    84,704x = 180,670 × 180,670
  4. Step 4: Simplify right side
    84,704x = 32,641,648,900
  5. Step 5: Solve for x
    x = 32,641,648,900/84,704
  6. Step 6: Final answer
    x = 385,361.36

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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.