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Finding the Third Proportional to 254.25 and 688.92

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Solution

The third proportional to 254.25 and 688.92 is: 1,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 688.92 = 688.92 : x
  2. Step 2: Convert to fraction form
    254.25/688.92 = 688.92/x
  3. Step 3: Cross multiply
    254.25x = 688.92 × 688.92
  4. Step 4: Simplify right side
    254.25x = 474,613.35
  5. Step 5: Solve for x
    x = 474,613.35/254.25
  6. Step 6: Final answer
    x = 1,866.72

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.