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Finding the Third Proportional to 201,882 and 437,206

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Solution

The third proportional to 201,882 and 437,206 is: 946,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882 : 437,206 = 437,206 : x
  2. Step 2: Convert to fraction form
    201,882/437,206 = 437,206/x
  3. Step 3: Cross multiply
    201,882x = 437,206 × 437,206
  4. Step 4: Simplify right side
    201,882x = 191,149,086,436
  5. Step 5: Solve for x
    x = 191,149,086,436/201,882
  6. Step 6: Final answer
    x = 946,835.71

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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.