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Finding the Third Proportional to 103,668 and 223,680

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Solution

The third proportional to 103,668 and 223,680 is: 482,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668 : 223,680 = 223,680 : x
  2. Step 2: Convert to fraction form
    103,668/223,680 = 223,680/x
  3. Step 3: Cross multiply
    103,668x = 223,680 × 223,680
  4. Step 4: Simplify right side
    103,668x = 50,032,742,400
  5. Step 5: Solve for x
    x = 50,032,742,400/103,668
  6. Step 6: Final answer
    x = 482,624.75

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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.