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Finding the Third Proportional to 69.89 and 152.16

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Solution

The third proportional to 69.89 and 152.16 is: 331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.89 : 152.16 = 152.16 : x
  2. Step 2: Convert to fraction form
    69.89/152.16 = 152.16/x
  3. Step 3: Cross multiply
    69.89x = 152.16 × 152.16
  4. Step 4: Simplify right side
    69.89x = 23,151.52
  5. Step 5: Solve for x
    x = 23,151.52/69.89
  6. Step 6: Final answer
    x = 331.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.