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Finding the Third Proportional to 103,680 and 226,839

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Solution

The third proportional to 103,680 and 226,839 is: 496,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 226,839 = 226,839 : x
  2. Step 2: Convert to fraction form
    103,680/226,839 = 226,839/x
  3. Step 3: Cross multiply
    103,680x = 226,839 × 226,839
  4. Step 4: Simplify right side
    103,680x = 51,455,931,921
  5. Step 5: Solve for x
    x = 51,455,931,921/103,680
  6. Step 6: Final answer
    x = 496,295.64

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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.