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Finding the Third Proportional to 360.75 and 387.75

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Solution

The third proportional to 360.75 and 387.75 is: 416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.75 : 387.75 = 387.75 : x
  2. Step 2: Convert to fraction form
    360.75/387.75 = 387.75/x
  3. Step 3: Cross multiply
    360.75x = 387.75 × 387.75
  4. Step 4: Simplify right side
    360.75x = 150,350.06
  5. Step 5: Solve for x
    x = 150,350.06/360.75
  6. Step 6: Final answer
    x = 416.77

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.