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Finding the Third Proportional to 225,785.50 and 349,794

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Solution

The third proportional to 225,785.50 and 349,794 is: 541,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,785.50 : 349,794 = 349,794 : x
  2. Step 2: Convert to fraction form
    225,785.50/349,794 = 349,794/x
  3. Step 3: Cross multiply
    225,785.50x = 349,794 × 349,794
  4. Step 4: Simplify right side
    225,785.50x = 122,355,842,436
  5. Step 5: Solve for x
    x = 122,355,842,436/225,785.50
  6. Step 6: Final answer
    x = 541,911.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.