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Finding the Third Proportional to 233.63 and 252.19

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Solution

The third proportional to 233.63 and 252.19 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 252.19 = 252.19 : x
  2. Step 2: Convert to fraction form
    233.63/252.19 = 252.19/x
  3. Step 3: Cross multiply
    233.63x = 252.19 × 252.19
  4. Step 4: Simplify right side
    233.63x = 63,598.54
  5. Step 5: Solve for x
    x = 63,598.54/233.63
  6. Step 6: Final answer
    x = 272.22

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.