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Finding the Third Proportional to 150,579 and 242,149.50

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Solution

The third proportional to 150,579 and 242,149.50 is: 389,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,579 : 242,149.50 = 242,149.50 : x
  2. Step 2: Convert to fraction form
    150,579/242,149.50 = 242,149.50/x
  3. Step 3: Cross multiply
    150,579x = 242,149.50 × 242,149.50
  4. Step 4: Simplify right side
    150,579x = 58,636,380,350.25
  5. Step 5: Solve for x
    x = 58,636,380,350.25/150,579
  6. Step 6: Final answer
    x = 389,406.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.