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Finding the Third Proportional to 169.78 and 460.03

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Solution

The third proportional to 169.78 and 460.03 is: 1,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 460.03 = 460.03 : x
  2. Step 2: Convert to fraction form
    169.78/460.03 = 460.03/x
  3. Step 3: Cross multiply
    169.78x = 460.03 × 460.03
  4. Step 4: Simplify right side
    169.78x = 211,628.75
  5. Step 5: Solve for x
    x = 211,628.75/169.78
  6. Step 6: Final answer
    x = 1,246.48

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.