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Finding the Third Proportional to 160,884 and 211,563

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Solution

The third proportional to 160,884 and 211,563 is: 278,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,884 : 211,563 = 211,563 : x
  2. Step 2: Convert to fraction form
    160,884/211,563 = 211,563/x
  3. Step 3: Cross multiply
    160,884x = 211,563 × 211,563
  4. Step 4: Simplify right side
    160,884x = 44,758,902,969
  5. Step 5: Solve for x
    x = 44,758,902,969/160,884
  6. Step 6: Final answer
    x = 278,206.06

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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.