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Finding the Third Proportional to 214.97 and 463.88

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Solution

The third proportional to 214.97 and 463.88 is: 1,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.97 : 463.88 = 463.88 : x
  2. Step 2: Convert to fraction form
    214.97/463.88 = 463.88/x
  3. Step 3: Cross multiply
    214.97x = 463.88 × 463.88
  4. Step 4: Simplify right side
    214.97x = 215,180.02
  5. Step 5: Solve for x
    x = 215,180.02/214.97
  6. Step 6: Final answer
    x = 1,000.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.