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Finding the Third Proportional to 162,108 and 260,469

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Solution

The third proportional to 162,108 and 260,469 is: 418,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,108 : 260,469 = 260,469 : x
  2. Step 2: Convert to fraction form
    162,108/260,469 = 260,469/x
  3. Step 3: Cross multiply
    162,108x = 260,469 × 260,469
  4. Step 4: Simplify right side
    162,108x = 67,844,099,961
  5. Step 5: Solve for x
    x = 67,844,099,961/162,108
  6. Step 6: Final answer
    x = 418,511.73

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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.