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Finding the Third Proportional to 269,789.25 and 395,935.50

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Solution

The third proportional to 269,789.25 and 395,935.50 is: 581,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,789.25 : 395,935.50 = 395,935.50 : x
  2. Step 2: Convert to fraction form
    269,789.25/395,935.50 = 395,935.50/x
  3. Step 3: Cross multiply
    269,789.25x = 395,935.50 × 395,935.50
  4. Step 4: Simplify right side
    269,789.25x = 156,764,920,160.25
  5. Step 5: Solve for x
    x = 156,764,920,160.25/269,789.25
  6. Step 6: Final answer
    x = 581,064.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.