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Finding the Third Proportional to 160,891.50 and 211,573.50

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Solution

The third proportional to 160,891.50 and 211,573.50 is: 278,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,891.50 : 211,573.50 = 211,573.50 : x
  2. Step 2: Convert to fraction form
    160,891.50/211,573.50 = 211,573.50/x
  3. Step 3: Cross multiply
    160,891.50x = 211,573.50 × 211,573.50
  4. Step 4: Simplify right side
    160,891.50x = 44,763,345,902.25
  5. Step 5: Solve for x
    x = 44,763,345,902.25/160,891.50
  6. Step 6: Final answer
    x = 278,220.70

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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.