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Finding the Third Proportional to 103,552 and 223,414

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Solution

The third proportional to 103,552 and 223,414 is: 482,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,552 : 223,414 = 223,414 : x
  2. Step 2: Convert to fraction form
    103,552/223,414 = 223,414/x
  3. Step 3: Cross multiply
    103,552x = 223,414 × 223,414
  4. Step 4: Simplify right side
    103,552x = 49,913,815,396
  5. Step 5: Solve for x
    x = 49,913,815,396/103,552
  6. Step 6: Final answer
    x = 482,016.91

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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.