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Finding the Third Proportional to 253.27 and 380.74

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Solution

The third proportional to 253.27 and 380.74 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.27 : 380.74 = 380.74 : x
  2. Step 2: Convert to fraction form
    253.27/380.74 = 380.74/x
  3. Step 3: Cross multiply
    253.27x = 380.74 × 380.74
  4. Step 4: Simplify right side
    253.27x = 144,964.61
  5. Step 5: Solve for x
    x = 144,964.61/253.27
  6. Step 6: Final answer
    x = 572.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.