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Finding the Third Proportional to 167.13 and 390.52

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Solution

The third proportional to 167.13 and 390.52 is: 912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 390.52 = 390.52 : x
  2. Step 2: Convert to fraction form
    167.13/390.52 = 390.52/x
  3. Step 3: Cross multiply
    167.13x = 390.52 × 390.52
  4. Step 4: Simplify right side
    167.13x = 152,502.45
  5. Step 5: Solve for x
    x = 152,502.45/167.13
  6. Step 6: Final answer
    x = 912.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.