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Finding the Third Proportional to 103,482 and 227,284

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Solution

The third proportional to 103,482 and 227,284 is: 499,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482 : 227,284 = 227,284 : x
  2. Step 2: Convert to fraction form
    103,482/227,284 = 227,284/x
  3. Step 3: Cross multiply
    103,482x = 227,284 × 227,284
  4. Step 4: Simplify right side
    103,482x = 51,658,016,656
  5. Step 5: Solve for x
    x = 51,658,016,656/103,482
  6. Step 6: Final answer
    x = 499,198.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.