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Finding the Third Proportional to 110.88 and 253.06

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Solution

The third proportional to 110.88 and 253.06 is: 577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 253.06 = 253.06 : x
  2. Step 2: Convert to fraction form
    110.88/253.06 = 253.06/x
  3. Step 3: Cross multiply
    110.88x = 253.06 × 253.06
  4. Step 4: Simplify right side
    110.88x = 64,040.63
  5. Step 5: Solve for x
    x = 64,040.63/110.88
  6. Step 6: Final answer
    x = 577.59

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.