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Finding the Third Proportional to 150,612.75 and 327,476.25

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Solution

The third proportional to 150,612.75 and 327,476.25 is: 712,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612.75 : 327,476.25 = 327,476.25 : x
  2. Step 2: Convert to fraction form
    150,612.75/327,476.25 = 327,476.25/x
  3. Step 3: Cross multiply
    150,612.75x = 327,476.25 × 327,476.25
  4. Step 4: Simplify right side
    150,612.75x = 107,240,694,314.06
  5. Step 5: Solve for x
    x = 107,240,694,314.06/150,612.75
  6. Step 6: Final answer
    x = 712,029.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.