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Finding the Third Proportional to 301.85 and 660.66

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Solution

The third proportional to 301.85 and 660.66 is: 1,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 660.66 = 660.66 : x
  2. Step 2: Convert to fraction form
    301.85/660.66 = 660.66/x
  3. Step 3: Cross multiply
    301.85x = 660.66 × 660.66
  4. Step 4: Simplify right side
    301.85x = 436,466.68
  5. Step 5: Solve for x
    x = 436,466.68/301.85
  6. Step 6: Final answer
    x = 1,445.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.