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Finding the Third Proportional to 233.88 and 605.69

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Solution

The third proportional to 233.88 and 605.69 is: 1,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 605.69 = 605.69 : x
  2. Step 2: Convert to fraction form
    233.88/605.69 = 605.69/x
  3. Step 3: Cross multiply
    233.88x = 605.69 × 605.69
  4. Step 4: Simplify right side
    233.88x = 366,857.35
  5. Step 5: Solve for x
    x = 366,857.35/233.88
  6. Step 6: Final answer
    x = 1,568.60

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.