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Finding the Third Proportional to 103,400 and 223,306

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Solution

The third proportional to 103,400 and 223,306 is: 482,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,400 : 223,306 = 223,306 : x
  2. Step 2: Convert to fraction form
    103,400/223,306 = 223,306/x
  3. Step 3: Cross multiply
    103,400x = 223,306 × 223,306
  4. Step 4: Simplify right side
    103,400x = 49,865,569,636
  5. Step 5: Solve for x
    x = 49,865,569,636/103,400
  6. Step 6: Final answer
    x = 482,258.89

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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.