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Finding the Third Proportional to 140,832 and 305,952

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Solution

The third proportional to 140,832 and 305,952 is: 664,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,832 : 305,952 = 305,952 : x
  2. Step 2: Convert to fraction form
    140,832/305,952 = 305,952/x
  3. Step 3: Cross multiply
    140,832x = 305,952 × 305,952
  4. Step 4: Simplify right side
    140,832x = 93,606,626,304
  5. Step 5: Solve for x
    x = 93,606,626,304/140,832
  6. Step 6: Final answer
    x = 664,668.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.