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Finding the Third Proportional to 194,149.50 and 415,292.25

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Solution

The third proportional to 194,149.50 and 415,292.25 is: 888,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,149.50 : 415,292.25 = 415,292.25 : x
  2. Step 2: Convert to fraction form
    194,149.50/415,292.25 = 415,292.25/x
  3. Step 3: Cross multiply
    194,149.50x = 415,292.25 × 415,292.25
  4. Step 4: Simplify right side
    194,149.50x = 172,467,652,910.06
  5. Step 5: Solve for x
    x = 172,467,652,910.06/194,149.50
  6. Step 6: Final answer
    x = 888,323.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.