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Finding the Third Proportional to 111,215 and 231,646

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Solution

The third proportional to 111,215 and 231,646 is: 482,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,215 : 231,646 = 231,646 : x
  2. Step 2: Convert to fraction form
    111,215/231,646 = 231,646/x
  3. Step 3: Cross multiply
    111,215x = 231,646 × 231,646
  4. Step 4: Simplify right side
    111,215x = 53,659,869,316
  5. Step 5: Solve for x
    x = 53,659,869,316/111,215
  6. Step 6: Final answer
    x = 482,487.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.