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Finding the Third Proportional to 608.88 and 1,342.13

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Solution

The third proportional to 608.88 and 1,342.13 is: 2,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.88 : 1,342.13 = 1,342.13 : x
  2. Step 2: Convert to fraction form
    608.88/1,342.13 = 1,342.13/x
  3. Step 3: Cross multiply
    608.88x = 1,342.13 × 1,342.13
  4. Step 4: Simplify right side
    608.88x = 1,801,299.52
  5. Step 5: Solve for x
    x = 1,801,299.52/608.88
  6. Step 6: Final answer
    x = 2,958.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.