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Finding the Third Proportional to 169.56 and 460.94

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Solution

The third proportional to 169.56 and 460.94 is: 1,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 460.94 = 460.94 : x
  2. Step 2: Convert to fraction form
    169.56/460.94 = 460.94/x
  3. Step 3: Cross multiply
    169.56x = 460.94 × 460.94
  4. Step 4: Simplify right side
    169.56x = 212,463.38
  5. Step 5: Solve for x
    x = 212,463.38/169.56
  6. Step 6: Final answer
    x = 1,253.01

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.