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Finding the Third Proportional to 152.35 and 323.21

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Solution

The third proportional to 152.35 and 323.21 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 323.21 = 323.21 : x
  2. Step 2: Convert to fraction form
    152.35/323.21 = 323.21/x
  3. Step 3: Cross multiply
    152.35x = 323.21 × 323.21
  4. Step 4: Simplify right side
    152.35x = 104,464.05
  5. Step 5: Solve for x
    x = 104,464.05/152.35
  6. Step 6: Final answer
    x = 685.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.