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Finding the Third Proportional to 280.97 and 575.23

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Solution

The third proportional to 280.97 and 575.23 is: 1,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 575.23 = 575.23 : x
  2. Step 2: Convert to fraction form
    280.97/575.23 = 575.23/x
  3. Step 3: Cross multiply
    280.97x = 575.23 × 575.23
  4. Step 4: Simplify right side
    280.97x = 330,885.60
  5. Step 5: Solve for x
    x = 330,885.60/280.97
  6. Step 6: Final answer
    x = 1,177.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.