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Finding the Third Proportional to 203,869.50 and 314,709.75

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Solution

The third proportional to 203,869.50 and 314,709.75 is: 485,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,869.50 : 314,709.75 = 314,709.75 : x
  2. Step 2: Convert to fraction form
    203,869.50/314,709.75 = 314,709.75/x
  3. Step 3: Cross multiply
    203,869.50x = 314,709.75 × 314,709.75
  4. Step 4: Simplify right side
    203,869.50x = 99,042,226,745.06
  5. Step 5: Solve for x
    x = 99,042,226,745.06/203,869.50
  6. Step 6: Final answer
    x = 485,811.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.