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Finding the Third Proportional to 200,121 and 437,177

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Solution

The third proportional to 200,121 and 437,177 is: 955,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,121 : 437,177 = 437,177 : x
  2. Step 2: Convert to fraction form
    200,121/437,177 = 437,177/x
  3. Step 3: Cross multiply
    200,121x = 437,177 × 437,177
  4. Step 4: Simplify right side
    200,121x = 191,123,729,329
  5. Step 5: Solve for x
    x = 191,123,729,329/200,121
  6. Step 6: Final answer
    x = 955,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.