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Finding the Third Proportional to 201,916 and 437,272

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Solution

The third proportional to 201,916 and 437,272 is: 946,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,916 : 437,272 = 437,272 : x
  2. Step 2: Convert to fraction form
    201,916/437,272 = 437,272/x
  3. Step 3: Cross multiply
    201,916x = 437,272 × 437,272
  4. Step 4: Simplify right side
    201,916x = 191,206,801,984
  5. Step 5: Solve for x
    x = 191,206,801,984/201,916
  6. Step 6: Final answer
    x = 946,962.11

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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.