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Finding the Third Proportional to 160,269 and 342,771

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Solution

The third proportional to 160,269 and 342,771 is: 733,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,269 : 342,771 = 342,771 : x
  2. Step 2: Convert to fraction form
    160,269/342,771 = 342,771/x
  3. Step 3: Cross multiply
    160,269x = 342,771 × 342,771
  4. Step 4: Simplify right side
    160,269x = 117,491,958,441
  5. Step 5: Solve for x
    x = 117,491,958,441/160,269
  6. Step 6: Final answer
    x = 733,092.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.