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Finding the Third Proportional to 269,784 and 295,704

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Solution

The third proportional to 269,784 and 295,704 is: 324,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,784 : 295,704 = 295,704 : x
  2. Step 2: Convert to fraction form
    269,784/295,704 = 295,704/x
  3. Step 3: Cross multiply
    269,784x = 295,704 × 295,704
  4. Step 4: Simplify right side
    269,784x = 87,440,855,616
  5. Step 5: Solve for x
    x = 87,440,855,616/269,784
  6. Step 6: Final answer
    x = 324,114.31

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.