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Finding the Third Proportional to 151,728.75 and 332,029.69

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Solution

The third proportional to 151,728.75 and 332,029.69 is: 726,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,728.75 : 332,029.69 = 332,029.69 : x
  2. Step 2: Convert to fraction form
    151,728.75/332,029.69 = 332,029.69/x
  3. Step 3: Cross multiply
    151,728.75x = 332,029.69 × 332,029.69
  4. Step 4: Simplify right side
    151,728.75x = 110,243,713,381.35
  5. Step 5: Solve for x
    x = 110,243,713,381.35/151,728.75
  6. Step 6: Final answer
    x = 726,584.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.