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Finding the Third Proportional to 233,974.13 and 347,519.81

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Solution

The third proportional to 233,974.13 and 347,519.81 is: 516,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,974.13 : 347,519.81 = 347,519.81 : x
  2. Step 2: Convert to fraction form
    233,974.13/347,519.81 = 347,519.81/x
  3. Step 3: Cross multiply
    233,974.13x = 347,519.81 × 347,519.81
  4. Step 4: Simplify right side
    233,974.13x = 120,770,020,080.04
  5. Step 5: Solve for x
    x = 120,770,020,080.04/233,974.13
  6. Step 6: Final answer
    x = 516,168.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.