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Finding the Third Proportional to 149,647.50 and 276,939

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Solution

The third proportional to 149,647.50 and 276,939 is: 512,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647.50 : 276,939 = 276,939 : x
  2. Step 2: Convert to fraction form
    149,647.50/276,939 = 276,939/x
  3. Step 3: Cross multiply
    149,647.50x = 276,939 × 276,939
  4. Step 4: Simplify right side
    149,647.50x = 76,695,209,721
  5. Step 5: Solve for x
    x = 76,695,209,721/149,647.50
  6. Step 6: Final answer
    x = 512,505.79

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.