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Finding the Third Proportional to 146,729.81 and 233,226.84

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Solution

The third proportional to 146,729.81 and 233,226.84 is: 370,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,729.81 : 233,226.84 = 233,226.84 : x
  2. Step 2: Convert to fraction form
    146,729.81/233,226.84 = 233,226.84/x
  3. Step 3: Cross multiply
    146,729.81x = 233,226.84 × 233,226.84
  4. Step 4: Simplify right side
    146,729.81x = 54,394,760,645.59
  5. Step 5: Solve for x
    x = 54,394,760,645.59/146,729.81
  6. Step 6: Final answer
    x = 370,713.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.