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Finding the Third Proportional to 167.34 and 257.53

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Solution

The third proportional to 167.34 and 257.53 is: 396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 257.53 = 257.53 : x
  2. Step 2: Convert to fraction form
    167.34/257.53 = 257.53/x
  3. Step 3: Cross multiply
    167.34x = 257.53 × 257.53
  4. Step 4: Simplify right side
    167.34x = 66,322.34
  5. Step 5: Solve for x
    x = 66,322.34/167.34
  6. Step 6: Final answer
    x = 396.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.