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Finding the Third Proportional to 233.16 and 303.05

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Solution

The third proportional to 233.16 and 303.05 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 303.05 = 303.05 : x
  2. Step 2: Convert to fraction form
    233.16/303.05 = 303.05/x
  3. Step 3: Cross multiply
    233.16x = 303.05 × 303.05
  4. Step 4: Simplify right side
    233.16x = 91,837.41
  5. Step 5: Solve for x
    x = 91,837.41/233.16
  6. Step 6: Final answer
    x = 393.89

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.