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Finding the Third Proportional to 96.35 and 153.30

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Solution

The third proportional to 96.35 and 153.30 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.35 : 153.30 = 153.30 : x
  2. Step 2: Convert to fraction form
    96.35/153.30 = 153.30/x
  3. Step 3: Cross multiply
    96.35x = 153.30 × 153.30
  4. Step 4: Simplify right side
    96.35x = 23,500.53
  5. Step 5: Solve for x
    x = 23,500.53/96.35
  6. Step 6: Final answer
    x = 243.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.