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Finding the Third Proportional to 233.44 and 565.88

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Solution

The third proportional to 233.44 and 565.88 is: 1,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.44 : 565.88 = 565.88 : x
  2. Step 2: Convert to fraction form
    233.44/565.88 = 565.88/x
  3. Step 3: Cross multiply
    233.44x = 565.88 × 565.88
  4. Step 4: Simplify right side
    233.44x = 320,214.52
  5. Step 5: Solve for x
    x = 320,214.52/233.44
  6. Step 6: Final answer
    x = 1,371.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.