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Finding the Third Proportional to 103,682 and 223,301

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Solution

The third proportional to 103,682 and 223,301 is: 480,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 223,301 = 223,301 : x
  2. Step 2: Convert to fraction form
    103,682/223,301 = 223,301/x
  3. Step 3: Cross multiply
    103,682x = 223,301 × 223,301
  4. Step 4: Simplify right side
    103,682x = 49,863,336,601
  5. Step 5: Solve for x
    x = 49,863,336,601/103,682
  6. Step 6: Final answer
    x = 480,925.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.