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Finding the Third Proportional to 140,968.13 and 303,942.38

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Solution

The third proportional to 140,968.13 and 303,942.38 is: 655,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,968.13 : 303,942.38 = 303,942.38 : x
  2. Step 2: Convert to fraction form
    140,968.13/303,942.38 = 303,942.38/x
  3. Step 3: Cross multiply
    140,968.13x = 303,942.38 × 303,942.38
  4. Step 4: Simplify right side
    140,968.13x = 92,380,967,320.64
  5. Step 5: Solve for x
    x = 92,380,967,320.64/140,968.13
  6. Step 6: Final answer
    x = 655,332.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.