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Finding the Third Proportional to 234,846 and 335,724.75

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Solution

The third proportional to 234,846 and 335,724.75 is: 479,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,846 : 335,724.75 = 335,724.75 : x
  2. Step 2: Convert to fraction form
    234,846/335,724.75 = 335,724.75/x
  3. Step 3: Cross multiply
    234,846x = 335,724.75 × 335,724.75
  4. Step 4: Simplify right side
    234,846x = 112,711,107,762.56
  5. Step 5: Solve for x
    x = 112,711,107,762.56/234,846
  6. Step 6: Final answer
    x = 479,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.