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Finding the Third Proportional to 201,646 and 309,519

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Solution

The third proportional to 201,646 and 309,519 is: 475,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646 : 309,519 = 309,519 : x
  2. Step 2: Convert to fraction form
    201,646/309,519 = 309,519/x
  3. Step 3: Cross multiply
    201,646x = 309,519 × 309,519
  4. Step 4: Simplify right side
    201,646x = 95,802,011,361
  5. Step 5: Solve for x
    x = 95,802,011,361/201,646
  6. Step 6: Final answer
    x = 475,099.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.