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Finding the Third Proportional to 201,872.25 and 437,187.38

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Solution

The third proportional to 201,872.25 and 437,187.38 is: 946,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.25 : 437,187.38 = 437,187.38 : x
  2. Step 2: Convert to fraction form
    201,872.25/437,187.38 = 437,187.38/x
  3. Step 3: Cross multiply
    201,872.25x = 437,187.38 × 437,187.38
  4. Step 4: Simplify right side
    201,872.25x = 191,132,800,859.39
  5. Step 5: Solve for x
    x = 191,132,800,859.39/201,872.25
  6. Step 6: Final answer
    x = 946,800.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.