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Finding the Third Proportional to 222,103.50 and 341,651.25

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Solution

The third proportional to 222,103.50 and 341,651.25 is: 525,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,103.50 : 341,651.25 = 341,651.25 : x
  2. Step 2: Convert to fraction form
    222,103.50/341,651.25 = 341,651.25/x
  3. Step 3: Cross multiply
    222,103.50x = 341,651.25 × 341,651.25
  4. Step 4: Simplify right side
    222,103.50x = 116,725,576,626.56
  5. Step 5: Solve for x
    x = 116,725,576,626.56/222,103.50
  6. Step 6: Final answer
    x = 525,545.87

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Why These Related Problems?

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