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Finding the Third Proportional to 97.36 and 150.70

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Solution

The third proportional to 97.36 and 150.70 is: 233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 150.70 = 150.70 : x
  2. Step 2: Convert to fraction form
    97.36/150.70 = 150.70/x
  3. Step 3: Cross multiply
    97.36x = 150.70 × 150.70
  4. Step 4: Simplify right side
    97.36x = 22,711.43
  5. Step 5: Solve for x
    x = 22,711.43/97.36
  6. Step 6: Final answer
    x = 233.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.