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Finding the Third Proportional to 281.38 and 657.13

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Solution

The third proportional to 281.38 and 657.13 is: 1,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 657.13 = 657.13 : x
  2. Step 2: Convert to fraction form
    281.38/657.13 = 657.13/x
  3. Step 3: Cross multiply
    281.38x = 657.13 × 657.13
  4. Step 4: Simplify right side
    281.38x = 431,813.27
  5. Step 5: Solve for x
    x = 431,813.27/281.38
  6. Step 6: Final answer
    x = 1,534.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.