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Finding the Third Proportional to 140,230.13 and 305,839.13

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Solution

The third proportional to 140,230.13 and 305,839.13 is: 667,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,230.13 : 305,839.13 = 305,839.13 : x
  2. Step 2: Convert to fraction form
    140,230.13/305,839.13 = 305,839.13/x
  3. Step 3: Cross multiply
    140,230.13x = 305,839.13 × 305,839.13
  4. Step 4: Simplify right side
    140,230.13x = 93,537,570,380.77
  5. Step 5: Solve for x
    x = 93,537,570,380.77/140,230.13
  6. Step 6: Final answer
    x = 667,029.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.