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Finding the Third Proportional to 269,808.50 and 395,964.75

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Solution

The third proportional to 269,808.50 and 395,964.75 is: 581,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,808.50 : 395,964.75 = 395,964.75 : x
  2. Step 2: Convert to fraction form
    269,808.50/395,964.75 = 395,964.75/x
  3. Step 3: Cross multiply
    269,808.50x = 395,964.75 × 395,964.75
  4. Step 4: Simplify right side
    269,808.50x = 156,788,083,242.56
  5. Step 5: Solve for x
    x = 156,788,083,242.56/269,808.50
  6. Step 6: Final answer
    x = 581,108.76

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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.