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Finding the Third Proportional to 215,993.25 and 304,033.50

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Solution

The third proportional to 215,993.25 and 304,033.50 is: 427,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,993.25 : 304,033.50 = 304,033.50 : x
  2. Step 2: Convert to fraction form
    215,993.25/304,033.50 = 304,033.50/x
  3. Step 3: Cross multiply
    215,993.25x = 304,033.50 × 304,033.50
  4. Step 4: Simplify right side
    215,993.25x = 92,436,369,122.25
  5. Step 5: Solve for x
    x = 92,436,369,122.25/215,993.25
  6. Step 6: Final answer
    x = 427,959.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.