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Finding the Third Proportional to 171,331.50 and 394,875

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Solution

The third proportional to 171,331.50 and 394,875 is: 910,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,331.50 : 394,875 = 394,875 : x
  2. Step 2: Convert to fraction form
    171,331.50/394,875 = 394,875/x
  3. Step 3: Cross multiply
    171,331.50x = 394,875 × 394,875
  4. Step 4: Simplify right side
    171,331.50x = 155,926,265,625
  5. Step 5: Solve for x
    x = 155,926,265,625/171,331.50
  6. Step 6: Final answer
    x = 910,085.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.