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Finding the Third Proportional to 231,568 and 346,379

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Solution

The third proportional to 231,568 and 346,379 is: 518,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,568 : 346,379 = 346,379 : x
  2. Step 2: Convert to fraction form
    231,568/346,379 = 346,379/x
  3. Step 3: Cross multiply
    231,568x = 346,379 × 346,379
  4. Step 4: Simplify right side
    231,568x = 119,978,411,641
  5. Step 5: Solve for x
    x = 119,978,411,641/231,568
  6. Step 6: Final answer
    x = 518,113.09

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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.