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Finding the Third Proportional to 242.75 and 380.75

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Solution

The third proportional to 242.75 and 380.75 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.75 : 380.75 = 380.75 : x
  2. Step 2: Convert to fraction form
    242.75/380.75 = 380.75/x
  3. Step 3: Cross multiply
    242.75x = 380.75 × 380.75
  4. Step 4: Simplify right side
    242.75x = 144,970.56
  5. Step 5: Solve for x
    x = 144,970.56/242.75
  6. Step 6: Final answer
    x = 597.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.