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Finding the Third Proportional to 140,968.13 and 309,846.94

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Solution

The third proportional to 140,968.13 and 309,846.94 is: 681,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,968.13 : 309,846.94 = 309,846.94 : x
  2. Step 2: Convert to fraction form
    140,968.13/309,846.94 = 309,846.94/x
  3. Step 3: Cross multiply
    140,968.13x = 309,846.94 × 309,846.94
  4. Step 4: Simplify right side
    140,968.13x = 96,005,124,678.13
  5. Step 5: Solve for x
    x = 96,005,124,678.13/140,968.13
  6. Step 6: Final answer
    x = 681,041.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.