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Finding the Third Proportional to 279.94 and 611.06

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Solution

The third proportional to 279.94 and 611.06 is: 1,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.94 : 611.06 = 611.06 : x
  2. Step 2: Convert to fraction form
    279.94/611.06 = 611.06/x
  3. Step 3: Cross multiply
    279.94x = 611.06 × 611.06
  4. Step 4: Simplify right side
    279.94x = 373,397.38
  5. Step 5: Solve for x
    x = 373,397.38/279.94
  6. Step 6: Final answer
    x = 1,333.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.