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Finding the Third Proportional to 233.61 and 506.36

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Solution

The third proportional to 233.61 and 506.36 is: 1,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.61 : 506.36 = 506.36 : x
  2. Step 2: Convert to fraction form
    233.61/506.36 = 506.36/x
  3. Step 3: Cross multiply
    233.61x = 506.36 × 506.36
  4. Step 4: Simplify right side
    233.61x = 256,395.86
  5. Step 5: Solve for x
    x = 256,395.86/233.61
  6. Step 6: Final answer
    x = 1,097.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.