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Finding the Third Proportional to 69,266.50 and 151,493

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Solution

The third proportional to 69,266.50 and 151,493 is: 331,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,266.50 : 151,493 = 151,493 : x
  2. Step 2: Convert to fraction form
    69,266.50/151,493 = 151,493/x
  3. Step 3: Cross multiply
    69,266.50x = 151,493 × 151,493
  4. Step 4: Simplify right side
    69,266.50x = 22,950,129,049
  5. Step 5: Solve for x
    x = 22,950,129,049/69,266.50
  6. Step 6: Final answer
    x = 331,330.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.