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Finding the Third Proportional to 160,892 and 211,573

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Solution

The third proportional to 160,892 and 211,573 is: 278,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,892 : 211,573 = 211,573 : x
  2. Step 2: Convert to fraction form
    160,892/211,573 = 211,573/x
  3. Step 3: Cross multiply
    160,892x = 211,573 × 211,573
  4. Step 4: Simplify right side
    160,892x = 44,763,134,329
  5. Step 5: Solve for x
    x = 44,763,134,329/160,892
  6. Step 6: Final answer
    x = 278,218.52

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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.