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Finding the Third Proportional to 281.25 and 451.13

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Solution

The third proportional to 281.25 and 451.13 is: 723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 451.13 = 451.13 : x
  2. Step 2: Convert to fraction form
    281.25/451.13 = 451.13/x
  3. Step 3: Cross multiply
    281.25x = 451.13 × 451.13
  4. Step 4: Simplify right side
    281.25x = 203,513.77
  5. Step 5: Solve for x
    x = 203,513.77/281.25
  6. Step 6: Final answer
    x = 723.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.