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Finding the Third Proportional to 164,314 and 264,542

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Solution

The third proportional to 164,314 and 264,542 is: 425,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,314 : 264,542 = 264,542 : x
  2. Step 2: Convert to fraction form
    164,314/264,542 = 264,542/x
  3. Step 3: Cross multiply
    164,314x = 264,542 × 264,542
  4. Step 4: Simplify right side
    164,314x = 69,982,469,764
  5. Step 5: Solve for x
    x = 69,982,469,764/164,314
  6. Step 6: Final answer
    x = 425,906.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.