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Finding the Third Proportional to 104,209 and 224,218

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Solution

The third proportional to 104,209 and 224,218 is: 482,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,209 : 224,218 = 224,218 : x
  2. Step 2: Convert to fraction form
    104,209/224,218 = 224,218/x
  3. Step 3: Cross multiply
    104,209x = 224,218 × 224,218
  4. Step 4: Simplify right side
    104,209x = 50,273,711,524
  5. Step 5: Solve for x
    x = 50,273,711,524/104,209
  6. Step 6: Final answer
    x = 482,431.57

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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.