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Finding the Third Proportional to 110.43 and 253.76

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Solution

The third proportional to 110.43 and 253.76 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 253.76 = 253.76 : x
  2. Step 2: Convert to fraction form
    110.43/253.76 = 253.76/x
  3. Step 3: Cross multiply
    110.43x = 253.76 × 253.76
  4. Step 4: Simplify right side
    110.43x = 64,393.03
  5. Step 5: Solve for x
    x = 64,393.03/110.43
  6. Step 6: Final answer
    x = 583.13

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.