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Finding the Third Proportional to 201,144 and 303,767

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Solution

The third proportional to 201,144 and 303,767 is: 458,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144 : 303,767 = 303,767 : x
  2. Step 2: Convert to fraction form
    201,144/303,767 = 303,767/x
  3. Step 3: Cross multiply
    201,144x = 303,767 × 303,767
  4. Step 4: Simplify right side
    201,144x = 92,274,390,289
  5. Step 5: Solve for x
    x = 92,274,390,289/201,144
  6. Step 6: Final answer
    x = 458,747.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.