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Finding the Third Proportional to 160,891 and 211,572

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Solution

The third proportional to 160,891 and 211,572 is: 278,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,891 : 211,572 = 211,572 : x
  2. Step 2: Convert to fraction form
    160,891/211,572 = 211,572/x
  3. Step 3: Cross multiply
    160,891x = 211,572 × 211,572
  4. Step 4: Simplify right side
    160,891x = 44,762,711,184
  5. Step 5: Solve for x
    x = 44,762,711,184/160,891
  6. Step 6: Final answer
    x = 278,217.62

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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.