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Finding the Third Proportional to 170.39 and 264.33

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Solution

The third proportional to 170.39 and 264.33 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.39 : 264.33 = 264.33 : x
  2. Step 2: Convert to fraction form
    170.39/264.33 = 264.33/x
  3. Step 3: Cross multiply
    170.39x = 264.33 × 264.33
  4. Step 4: Simplify right side
    170.39x = 69,869.36
  5. Step 5: Solve for x
    x = 69,869.36/170.39
  6. Step 6: Final answer
    x = 410.05

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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.