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Finding the Third Proportional to 160,264 and 341,980

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Solution

The third proportional to 160,264 and 341,980 is: 729,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,264 : 341,980 = 341,980 : x
  2. Step 2: Convert to fraction form
    160,264/341,980 = 341,980/x
  3. Step 3: Cross multiply
    160,264x = 341,980 × 341,980
  4. Step 4: Simplify right side
    160,264x = 116,950,320,400
  5. Step 5: Solve for x
    x = 116,950,320,400/160,264
  6. Step 6: Final answer
    x = 729,735.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.