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Finding the Third Proportional to 103,684 and 223,307

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Solution

The third proportional to 103,684 and 223,307 is: 480,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 223,307 = 223,307 : x
  2. Step 2: Convert to fraction form
    103,684/223,307 = 223,307/x
  3. Step 3: Cross multiply
    103,684x = 223,307 × 223,307
  4. Step 4: Simplify right side
    103,684x = 49,866,016,249
  5. Step 5: Solve for x
    x = 49,866,016,249/103,684
  6. Step 6: Final answer
    x = 480,942.25

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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.