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Finding the Third Proportional to 103,632 and 226,704

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Solution

The third proportional to 103,632 and 226,704 is: 495,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632 : 226,704 = 226,704 : x
  2. Step 2: Convert to fraction form
    103,632/226,704 = 226,704/x
  3. Step 3: Cross multiply
    103,632x = 226,704 × 226,704
  4. Step 4: Simplify right side
    103,632x = 51,394,703,616
  5. Step 5: Solve for x
    x = 51,394,703,616/103,632
  6. Step 6: Final answer
    x = 495,934.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.