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Finding the Third Proportional to 345.94 and 379.13

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Solution

The third proportional to 345.94 and 379.13 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 379.13 = 379.13 : x
  2. Step 2: Convert to fraction form
    345.94/379.13 = 379.13/x
  3. Step 3: Cross multiply
    345.94x = 379.13 × 379.13
  4. Step 4: Simplify right side
    345.94x = 143,735.77
  5. Step 5: Solve for x
    x = 143,735.77/345.94
  6. Step 6: Final answer
    x = 415.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.