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Finding the Third Proportional to 103,680 and 223,704

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Solution

The third proportional to 103,680 and 223,704 is: 482,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 223,704 = 223,704 : x
  2. Step 2: Convert to fraction form
    103,680/223,704 = 223,704/x
  3. Step 3: Cross multiply
    103,680x = 223,704 × 223,704
  4. Step 4: Simplify right side
    103,680x = 50,043,479,616
  5. Step 5: Solve for x
    x = 50,043,479,616/103,680
  6. Step 6: Final answer
    x = 482,672.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.