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Finding the Third Proportional to 102,248 and 222,488

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Solution

The third proportional to 102,248 and 222,488 is: 484,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248 : 222,488 = 222,488 : x
  2. Step 2: Convert to fraction form
    102,248/222,488 = 222,488/x
  3. Step 3: Cross multiply
    102,248x = 222,488 × 222,488
  4. Step 4: Simplify right side
    102,248x = 49,500,910,144
  5. Step 5: Solve for x
    x = 49,500,910,144/102,248
  6. Step 6: Final answer
    x = 484,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.