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Finding the Third Proportional to 221,414 and 352,486

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Solution

The third proportional to 221,414 and 352,486 is: 561,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,414 : 352,486 = 352,486 : x
  2. Step 2: Convert to fraction form
    221,414/352,486 = 352,486/x
  3. Step 3: Cross multiply
    221,414x = 352,486 × 352,486
  4. Step 4: Simplify right side
    221,414x = 124,246,380,196
  5. Step 5: Solve for x
    x = 124,246,380,196/221,414
  6. Step 6: Final answer
    x = 561,149.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.