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Finding the Third Proportional to 114,676 and 234,446

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Solution

The third proportional to 114,676 and 234,446 is: 479,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,676 : 234,446 = 234,446 : x
  2. Step 2: Convert to fraction form
    114,676/234,446 = 234,446/x
  3. Step 3: Cross multiply
    114,676x = 234,446 × 234,446
  4. Step 4: Simplify right side
    114,676x = 54,964,926,916
  5. Step 5: Solve for x
    x = 54,964,926,916/114,676
  6. Step 6: Final answer
    x = 479,306.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.