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Finding the Third Proportional to 100,800 and 214,344

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Solution

The third proportional to 100,800 and 214,344 is: 455,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,800 : 214,344 = 214,344 : x
  2. Step 2: Convert to fraction form
    100,800/214,344 = 214,344/x
  3. Step 3: Cross multiply
    100,800x = 214,344 × 214,344
  4. Step 4: Simplify right side
    100,800x = 45,943,350,336
  5. Step 5: Solve for x
    x = 45,943,350,336/100,800
  6. Step 6: Final answer
    x = 455,787.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.