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Finding the Third Proportional to 233.61 and 332.17

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Solution

The third proportional to 233.61 and 332.17 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.61 : 332.17 = 332.17 : x
  2. Step 2: Convert to fraction form
    233.61/332.17 = 332.17/x
  3. Step 3: Cross multiply
    233.61x = 332.17 × 332.17
  4. Step 4: Simplify right side
    233.61x = 110,339.45
  5. Step 5: Solve for x
    x = 110,339.45/233.61
  6. Step 6: Final answer
    x = 472.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.