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Finding the Third Proportional to 194,220 and 415,425

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Solution

The third proportional to 194,220 and 415,425 is: 888,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,220 : 415,425 = 415,425 : x
  2. Step 2: Convert to fraction form
    194,220/415,425 = 415,425/x
  3. Step 3: Cross multiply
    194,220x = 415,425 × 415,425
  4. Step 4: Simplify right side
    194,220x = 172,577,930,625
  5. Step 5: Solve for x
    x = 172,577,930,625/194,220
  6. Step 6: Final answer
    x = 888,569.31

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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.