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Finding the Third Proportional to 152.25 and 324.75

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Solution

The third proportional to 152.25 and 324.75 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.25 : 324.75 = 324.75 : x
  2. Step 2: Convert to fraction form
    152.25/324.75 = 324.75/x
  3. Step 3: Cross multiply
    152.25x = 324.75 × 324.75
  4. Step 4: Simplify right side
    152.25x = 105,462.56
  5. Step 5: Solve for x
    x = 105,462.56/152.25
  6. Step 6: Final answer
    x = 692.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.