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Finding the Third Proportional to 160,898 and 211,582

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Solution

The third proportional to 160,898 and 211,582 is: 278,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,898 : 211,582 = 211,582 : x
  2. Step 2: Convert to fraction form
    160,898/211,582 = 211,582/x
  3. Step 3: Cross multiply
    160,898x = 211,582 × 211,582
  4. Step 4: Simplify right side
    160,898x = 44,766,942,724
  5. Step 5: Solve for x
    x = 44,766,942,724/160,898
  6. Step 6: Final answer
    x = 278,231.82

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.