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Finding the Third Proportional to 160,887 and 211,567

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Solution

The third proportional to 160,887 and 211,567 is: 278,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,887 : 211,567 = 211,567 : x
  2. Step 2: Convert to fraction form
    160,887/211,567 = 211,567/x
  3. Step 3: Cross multiply
    160,887x = 211,567 × 211,567
  4. Step 4: Simplify right side
    160,887x = 44,760,595,489
  5. Step 5: Solve for x
    x = 44,760,595,489/160,887
  6. Step 6: Final answer
    x = 278,211.39

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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.