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Finding the Third Proportional to 214.88 and 464.63

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Solution

The third proportional to 214.88 and 464.63 is: 1,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 464.63 = 464.63 : x
  2. Step 2: Convert to fraction form
    214.88/464.63 = 464.63/x
  3. Step 3: Cross multiply
    214.88x = 464.63 × 464.63
  4. Step 4: Simplify right side
    214.88x = 215,876.39
  5. Step 5: Solve for x
    x = 215,876.39/214.88
  6. Step 6: Final answer
    x = 1,004.66

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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.