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Finding the Third Proportional to 194,158 and 415,309

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Solution

The third proportional to 194,158 and 415,309 is: 888,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,158 : 415,309 = 415,309 : x
  2. Step 2: Convert to fraction form
    194,158/415,309 = 415,309/x
  3. Step 3: Cross multiply
    194,158x = 415,309 × 415,309
  4. Step 4: Simplify right side
    194,158x = 172,481,565,481
  5. Step 5: Solve for x
    x = 172,481,565,481/194,158
  6. Step 6: Final answer
    x = 888,356.73

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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.