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Finding the Third Proportional to 214,668 and 282,366

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Solution

The third proportional to 214,668 and 282,366 is: 371,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,668 : 282,366 = 282,366 : x
  2. Step 2: Convert to fraction form
    214,668/282,366 = 282,366/x
  3. Step 3: Cross multiply
    214,668x = 282,366 × 282,366
  4. Step 4: Simplify right side
    214,668x = 79,730,557,956
  5. Step 5: Solve for x
    x = 79,730,557,956/214,668
  6. Step 6: Final answer
    x = 371,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.