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Finding the Third Proportional to 194,221 and 415,427

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Solution

The third proportional to 194,221 and 415,427 is: 888,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,221 : 415,427 = 415,427 : x
  2. Step 2: Convert to fraction form
    194,221/415,427 = 415,427/x
  3. Step 3: Cross multiply
    194,221x = 415,427 × 415,427
  4. Step 4: Simplify right side
    194,221x = 172,579,592,329
  5. Step 5: Solve for x
    x = 172,579,592,329/194,221
  6. Step 6: Final answer
    x = 888,573.29

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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.