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Finding the Third Proportional to 152.44 and 253.69

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Solution

The third proportional to 152.44 and 253.69 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 253.69 = 253.69 : x
  2. Step 2: Convert to fraction form
    152.44/253.69 = 253.69/x
  3. Step 3: Cross multiply
    152.44x = 253.69 × 253.69
  4. Step 4: Simplify right side
    152.44x = 64,357.35
  5. Step 5: Solve for x
    x = 64,357.35/152.44
  6. Step 6: Final answer
    x = 422.19

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.