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Finding the Third Proportional to 149.06 and 323.16

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Solution

The third proportional to 149.06 and 323.16 is: 700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 323.16 = 323.16 : x
  2. Step 2: Convert to fraction form
    149.06/323.16 = 323.16/x
  3. Step 3: Cross multiply
    149.06x = 323.16 × 323.16
  4. Step 4: Simplify right side
    149.06x = 104,429.96
  5. Step 5: Solve for x
    x = 104,429.96/149.06
  6. Step 6: Final answer
    x = 700.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.