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Finding the Third Proportional to 150,957 and 222,061.50

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Solution

The third proportional to 150,957 and 222,061.50 is: 326,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,957 : 222,061.50 = 222,061.50 : x
  2. Step 2: Convert to fraction form
    150,957/222,061.50 = 222,061.50/x
  3. Step 3: Cross multiply
    150,957x = 222,061.50 × 222,061.50
  4. Step 4: Simplify right side
    150,957x = 49,311,309,782.25
  5. Step 5: Solve for x
    x = 49,311,309,782.25/150,957
  6. Step 6: Final answer
    x = 326,657.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.