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Finding the Third Proportional to 213,903 and 308,299.50

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Solution

The third proportional to 213,903 and 308,299.50 is: 444,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,903 : 308,299.50 = 308,299.50 : x
  2. Step 2: Convert to fraction form
    213,903/308,299.50 = 308,299.50/x
  3. Step 3: Cross multiply
    213,903x = 308,299.50 × 308,299.50
  4. Step 4: Simplify right side
    213,903x = 95,048,581,700.25
  5. Step 5: Solve for x
    x = 95,048,581,700.25/213,903
  6. Step 6: Final answer
    x = 444,353.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.