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Finding the Third Proportional to 221,772.94 and 339,311.53

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Solution

The third proportional to 221,772.94 and 339,311.53 is: 519,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,772.94 : 339,311.53 = 339,311.53 : x
  2. Step 2: Convert to fraction form
    221,772.94/339,311.53 = 339,311.53/x
  3. Step 3: Cross multiply
    221,772.94x = 339,311.53 × 339,311.53
  4. Step 4: Simplify right side
    221,772.94x = 115,132,315,239.22
  5. Step 5: Solve for x
    x = 115,132,315,239.22/221,772.94
  6. Step 6: Final answer
    x = 519,145.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.