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Finding the Third Proportional to 252.19 and 377.81

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Solution

The third proportional to 252.19 and 377.81 is: 566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.19 : 377.81 = 377.81 : x
  2. Step 2: Convert to fraction form
    252.19/377.81 = 377.81/x
  3. Step 3: Cross multiply
    252.19x = 377.81 × 377.81
  4. Step 4: Simplify right side
    252.19x = 142,742.29
  5. Step 5: Solve for x
    x = 142,742.29/252.19
  6. Step 6: Final answer
    x = 566.02

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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.