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Finding the Third Proportional to 279.75 and 659.38

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Solution

The third proportional to 279.75 and 659.38 is: 1,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 659.38 = 659.38 : x
  2. Step 2: Convert to fraction form
    279.75/659.38 = 659.38/x
  3. Step 3: Cross multiply
    279.75x = 659.38 × 659.38
  4. Step 4: Simplify right side
    279.75x = 434,775.39
  5. Step 5: Solve for x
    x = 434,775.39/279.75
  6. Step 6: Final answer
    x = 1,554.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.