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Finding the Third Proportional to 211,806 and 412,969.50

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Solution

The third proportional to 211,806 and 412,969.50 is: 805,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,806 : 412,969.50 = 412,969.50 : x
  2. Step 2: Convert to fraction form
    211,806/412,969.50 = 412,969.50/x
  3. Step 3: Cross multiply
    211,806x = 412,969.50 × 412,969.50
  4. Step 4: Simplify right side
    211,806x = 170,543,807,930.25
  5. Step 5: Solve for x
    x = 170,543,807,930.25/211,806
  6. Step 6: Final answer
    x = 805,188.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.