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Finding the Third Proportional to 233.16 and 354.38

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Solution

The third proportional to 233.16 and 354.38 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 354.38 = 354.38 : x
  2. Step 2: Convert to fraction form
    233.16/354.38 = 354.38/x
  3. Step 3: Cross multiply
    233.16x = 354.38 × 354.38
  4. Step 4: Simplify right side
    233.16x = 125,581.64
  5. Step 5: Solve for x
    x = 125,581.64/233.16
  6. Step 6: Final answer
    x = 538.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.