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Finding the Third Proportional to 160,806.09 and 211,456.83

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Solution

The third proportional to 160,806.09 and 211,456.83 is: 278,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,806.09 : 211,456.83 = 211,456.83 : x
  2. Step 2: Convert to fraction form
    160,806.09/211,456.83 = 211,456.83/x
  3. Step 3: Cross multiply
    160,806.09x = 211,456.83 × 211,456.83
  4. Step 4: Simplify right side
    160,806.09x = 44,713,990,160.69
  5. Step 5: Solve for x
    x = 44,713,990,160.69/160,806.09
  6. Step 6: Final answer
    x = 278,061.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.