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Finding the Third Proportional to 253.13 and 424.41

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Solution

The third proportional to 253.13 and 424.41 is: 711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.13 : 424.41 = 424.41 : x
  2. Step 2: Convert to fraction form
    253.13/424.41 = 424.41/x
  3. Step 3: Cross multiply
    253.13x = 424.41 × 424.41
  4. Step 4: Simplify right side
    253.13x = 180,120.67
  5. Step 5: Solve for x
    x = 180,120.67/253.13
  6. Step 6: Final answer
    x = 711.59

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.