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Finding the Third Proportional to 103,695 and 223,327

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Solution

The third proportional to 103,695 and 223,327 is: 480,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 223,327 = 223,327 : x
  2. Step 2: Convert to fraction form
    103,695/223,327 = 223,327/x
  3. Step 3: Cross multiply
    103,695x = 223,327 × 223,327
  4. Step 4: Simplify right side
    103,695x = 49,874,948,929
  5. Step 5: Solve for x
    x = 49,874,948,929/103,695
  6. Step 6: Final answer
    x = 480,977.38

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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.