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Finding the Third Proportional to 214,680 and 282,384

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Solution

The third proportional to 214,680 and 282,384 is: 371,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,680 : 282,384 = 282,384 : x
  2. Step 2: Convert to fraction form
    214,680/282,384 = 282,384/x
  3. Step 3: Cross multiply
    214,680x = 282,384 × 282,384
  4. Step 4: Simplify right side
    214,680x = 79,740,723,456
  5. Step 5: Solve for x
    x = 79,740,723,456/214,680
  6. Step 6: Final answer
    x = 371,439.93

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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.