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Finding the Third Proportional to 103,408 and 223,322

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Solution

The third proportional to 103,408 and 223,322 is: 482,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408 : 223,322 = 223,322 : x
  2. Step 2: Convert to fraction form
    103,408/223,322 = 223,322/x
  3. Step 3: Cross multiply
    103,408x = 223,322 × 223,322
  4. Step 4: Simplify right side
    103,408x = 49,872,715,684
  5. Step 5: Solve for x
    x = 49,872,715,684/103,408
  6. Step 6: Final answer
    x = 482,290.69

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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.