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Finding the Third Proportional to 208,739.25 and 465,288.75

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Solution

The third proportional to 208,739.25 and 465,288.75 is: 1,037,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,739.25 : 465,288.75 = 465,288.75 : x
  2. Step 2: Convert to fraction form
    208,739.25/465,288.75 = 465,288.75/x
  3. Step 3: Cross multiply
    208,739.25x = 465,288.75 × 465,288.75
  4. Step 4: Simplify right side
    208,739.25x = 216,493,620,876.56
  5. Step 5: Solve for x
    x = 216,493,620,876.56/208,739.25
  6. Step 6: Final answer
    x = 1,037,148.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.