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Finding the Third Proportional to 170.07 and 401.68

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Solution

The third proportional to 170.07 and 401.68 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.07 : 401.68 = 401.68 : x
  2. Step 2: Convert to fraction form
    170.07/401.68 = 401.68/x
  3. Step 3: Cross multiply
    170.07x = 401.68 × 401.68
  4. Step 4: Simplify right side
    170.07x = 161,345.00
  5. Step 5: Solve for x
    x = 161,345.00/170.07
  6. Step 6: Final answer
    x = 948.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.