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Finding the Third Proportional to 146,776.50 and 233,286.75

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Solution

The third proportional to 146,776.50 and 233,286.75 is: 370,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,776.50 : 233,286.75 = 233,286.75 : x
  2. Step 2: Convert to fraction form
    146,776.50/233,286.75 = 233,286.75/x
  3. Step 3: Cross multiply
    146,776.50x = 233,286.75 × 233,286.75
  4. Step 4: Simplify right side
    146,776.50x = 54,422,707,725.56
  5. Step 5: Solve for x
    x = 54,422,707,725.56/146,776.50
  6. Step 6: Final answer
    x = 370,786.25

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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.