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Finding the Third Proportional to 150,559 and 220,183.50

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Solution

The third proportional to 150,559 and 220,183.50 is: 322,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,559 : 220,183.50 = 220,183.50 : x
  2. Step 2: Convert to fraction form
    150,559/220,183.50 = 220,183.50/x
  3. Step 3: Cross multiply
    150,559x = 220,183.50 × 220,183.50
  4. Step 4: Simplify right side
    150,559x = 48,480,773,672.25
  5. Step 5: Solve for x
    x = 48,480,773,672.25/150,559
  6. Step 6: Final answer
    x = 322,005.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.