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Finding the Third Proportional to 301,198.50 and 401,800.50

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Solution

The third proportional to 301,198.50 and 401,800.50 is: 536,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,198.50 : 401,800.50 = 401,800.50 : x
  2. Step 2: Convert to fraction form
    301,198.50/401,800.50 = 401,800.50/x
  3. Step 3: Cross multiply
    301,198.50x = 401,800.50 × 401,800.50
  4. Step 4: Simplify right side
    301,198.50x = 161,443,641,800.25
  5. Step 5: Solve for x
    x = 161,443,641,800.25/301,198.50
  6. Step 6: Final answer
    x = 536,004.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.