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Finding the Third Proportional to 155,233.50 and 227,737.50

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Solution

The third proportional to 155,233.50 and 227,737.50 is: 334,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,233.50 : 227,737.50 = 227,737.50 : x
  2. Step 2: Convert to fraction form
    155,233.50/227,737.50 = 227,737.50/x
  3. Step 3: Cross multiply
    155,233.50x = 227,737.50 × 227,737.50
  4. Step 4: Simplify right side
    155,233.50x = 51,864,368,906.25
  5. Step 5: Solve for x
    x = 51,864,368,906.25/155,233.50
  6. Step 6: Final answer
    x = 334,105.52

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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.