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Finding the Third Proportional to 169.25 and 253.16

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Solution

The third proportional to 169.25 and 253.16 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.25 : 253.16 = 253.16 : x
  2. Step 2: Convert to fraction form
    169.25/253.16 = 253.16/x
  3. Step 3: Cross multiply
    169.25x = 253.16 × 253.16
  4. Step 4: Simplify right side
    169.25x = 64,088.09
  5. Step 5: Solve for x
    x = 64,088.09/169.25
  6. Step 6: Final answer
    x = 378.66

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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.