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Finding the Third Proportional to 230,936 and 346,404

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Solution

The third proportional to 230,936 and 346,404 is: 519,606

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936 : 346,404 = 346,404 : x
  2. Step 2: Convert to fraction form
    230,936/346,404 = 346,404/x
  3. Step 3: Cross multiply
    230,936x = 346,404 × 346,404
  4. Step 4: Simplify right side
    230,936x = 119,995,731,216
  5. Step 5: Solve for x
    x = 119,995,731,216/230,936
  6. Step 6: Final answer
    x = 519,606

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.