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Finding the Third Proportional to 98,622 and 160,227

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Solution

The third proportional to 98,622 and 160,227 is: 260,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622 : 160,227 = 160,227 : x
  2. Step 2: Convert to fraction form
    98,622/160,227 = 160,227/x
  3. Step 3: Cross multiply
    98,622x = 160,227 × 160,227
  4. Step 4: Simplify right side
    98,622x = 25,672,691,529
  5. Step 5: Solve for x
    x = 25,672,691,529/98,622
  6. Step 6: Final answer
    x = 260,314.04

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.