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Finding the Third Proportional to 152.35 and 236.12

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Solution

The third proportional to 152.35 and 236.12 is: 365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 236.12 = 236.12 : x
  2. Step 2: Convert to fraction form
    152.35/236.12 = 236.12/x
  3. Step 3: Cross multiply
    152.35x = 236.12 × 236.12
  4. Step 4: Simplify right side
    152.35x = 55,751.79
  5. Step 5: Solve for x
    x = 55,751.79/152.35
  6. Step 6: Final answer
    x = 365.95

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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.