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Finding the Third Proportional to 227,325 and 356,620.50

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Solution

The third proportional to 227,325 and 356,620.50 is: 559,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,325 : 356,620.50 = 356,620.50 : x
  2. Step 2: Convert to fraction form
    227,325/356,620.50 = 356,620.50/x
  3. Step 3: Cross multiply
    227,325x = 356,620.50 × 356,620.50
  4. Step 4: Simplify right side
    227,325x = 127,178,181,020.25
  5. Step 5: Solve for x
    x = 127,178,181,020.25/227,325
  6. Step 6: Final answer
    x = 559,455.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.