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Finding the Third Proportional to 199,401.75 and 303,203.25

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Solution

The third proportional to 199,401.75 and 303,203.25 is: 461,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,401.75 : 303,203.25 = 303,203.25 : x
  2. Step 2: Convert to fraction form
    199,401.75/303,203.25 = 303,203.25/x
  3. Step 3: Cross multiply
    199,401.75x = 303,203.25 × 303,203.25
  4. Step 4: Simplify right side
    199,401.75x = 91,932,210,810.56
  5. Step 5: Solve for x
    x = 91,932,210,810.56/199,401.75
  6. Step 6: Final answer
    x = 461,040.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.