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Finding the Third Proportional to 171,073 and 264,913

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Solution

The third proportional to 171,073 and 264,913 is: 410,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,073 : 264,913 = 264,913 : x
  2. Step 2: Convert to fraction form
    171,073/264,913 = 264,913/x
  3. Step 3: Cross multiply
    171,073x = 264,913 × 264,913
  4. Step 4: Simplify right side
    171,073x = 70,178,897,569
  5. Step 5: Solve for x
    x = 70,178,897,569/171,073
  6. Step 6: Final answer
    x = 410,227.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.