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Finding the Third Proportional to 221,933.25 and 338,431.50

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Solution

The third proportional to 221,933.25 and 338,431.50 is: 516,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,933.25 : 338,431.50 = 338,431.50 : x
  2. Step 2: Convert to fraction form
    221,933.25/338,431.50 = 338,431.50/x
  3. Step 3: Cross multiply
    221,933.25x = 338,431.50 × 338,431.50
  4. Step 4: Simplify right side
    221,933.25x = 114,535,880,192.25
  5. Step 5: Solve for x
    x = 114,535,880,192.25/221,933.25
  6. Step 6: Final answer
    x = 516,082.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.