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Finding the Third Proportional to 150,219 and 233,950.50

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Solution

The third proportional to 150,219 and 233,950.50 is: 364,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,219 : 233,950.50 = 233,950.50 : x
  2. Step 2: Convert to fraction form
    150,219/233,950.50 = 233,950.50/x
  3. Step 3: Cross multiply
    150,219x = 233,950.50 × 233,950.50
  4. Step 4: Simplify right side
    150,219x = 54,732,836,450.25
  5. Step 5: Solve for x
    x = 54,732,836,450.25/150,219
  6. Step 6: Final answer
    x = 364,353.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.