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Finding the Third Proportional to 269,533.50 and 318,741

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Solution

The third proportional to 269,533.50 and 318,741 is: 376,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,533.50 : 318,741 = 318,741 : x
  2. Step 2: Convert to fraction form
    269,533.50/318,741 = 318,741/x
  3. Step 3: Cross multiply
    269,533.50x = 318,741 × 318,741
  4. Step 4: Simplify right side
    269,533.50x = 101,595,825,081
  5. Step 5: Solve for x
    x = 101,595,825,081/269,533.50
  6. Step 6: Final answer
    x = 376,932.09

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.