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Finding the Third Proportional to 253.13 and 379.88

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Solution

The third proportional to 253.13 and 379.88 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.13 : 379.88 = 379.88 : x
  2. Step 2: Convert to fraction form
    253.13/379.88 = 379.88/x
  3. Step 3: Cross multiply
    253.13x = 379.88 × 379.88
  4. Step 4: Simplify right side
    253.13x = 144,305.02
  5. Step 5: Solve for x
    x = 144,305.02/253.13
  6. Step 6: Final answer
    x = 570.09

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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.