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Finding the Third Proportional to 233,238 and 366,675

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Solution

The third proportional to 233,238 and 366,675 is: 576,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,238 : 366,675 = 366,675 : x
  2. Step 2: Convert to fraction form
    233,238/366,675 = 366,675/x
  3. Step 3: Cross multiply
    233,238x = 366,675 × 366,675
  4. Step 4: Simplify right side
    233,238x = 134,450,555,625
  5. Step 5: Solve for x
    x = 134,450,555,625/233,238
  6. Step 6: Final answer
    x = 576,452.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.