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Finding the Third Proportional to 169.41 and 254.06

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Solution

The third proportional to 169.41 and 254.06 is: 381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.41 : 254.06 = 254.06 : x
  2. Step 2: Convert to fraction form
    169.41/254.06 = 254.06/x
  3. Step 3: Cross multiply
    169.41x = 254.06 × 254.06
  4. Step 4: Simplify right side
    169.41x = 64,547.75
  5. Step 5: Solve for x
    x = 64,547.75/169.41
  6. Step 6: Final answer
    x = 381.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.