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Finding the Third Proportional to 192,998.50 and 425,261.50

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Solution

The third proportional to 192,998.50 and 425,261.50 is: 937,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,998.50 : 425,261.50 = 425,261.50 : x
  2. Step 2: Convert to fraction form
    192,998.50/425,261.50 = 425,261.50/x
  3. Step 3: Cross multiply
    192,998.50x = 425,261.50 × 425,261.50
  4. Step 4: Simplify right side
    192,998.50x = 180,847,343,382.25
  5. Step 5: Solve for x
    x = 180,847,343,382.25/192,998.50
  6. Step 6: Final answer
    x = 937,040.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.