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Finding the Third Proportional to 110.34 and 235.78

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Solution

The third proportional to 110.34 and 235.78 is: 503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 235.78 = 235.78 : x
  2. Step 2: Convert to fraction form
    110.34/235.78 = 235.78/x
  3. Step 3: Cross multiply
    110.34x = 235.78 × 235.78
  4. Step 4: Simplify right side
    110.34x = 55,592.80
  5. Step 5: Solve for x
    x = 55,592.80/110.34
  6. Step 6: Final answer
    x = 503.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.