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Finding the Third Proportional to 201,904 and 437,243

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Solution

The third proportional to 201,904 and 437,243 is: 946,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904 : 437,243 = 437,243 : x
  2. Step 2: Convert to fraction form
    201,904/437,243 = 437,243/x
  3. Step 3: Cross multiply
    201,904x = 437,243 × 437,243
  4. Step 4: Simplify right side
    201,904x = 191,181,441,049
  5. Step 5: Solve for x
    x = 191,181,441,049/201,904
  6. Step 6: Final answer
    x = 946,892.79

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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.