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Finding the Third Proportional to 233.11 and 360.47

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Solution

The third proportional to 233.11 and 360.47 is: 557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.11 : 360.47 = 360.47 : x
  2. Step 2: Convert to fraction form
    233.11/360.47 = 360.47/x
  3. Step 3: Cross multiply
    233.11x = 360.47 × 360.47
  4. Step 4: Simplify right side
    233.11x = 129,935.61
  5. Step 5: Solve for x
    x = 129,935.61/233.11
  6. Step 6: Final answer
    x = 557.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.