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Finding the Third Proportional to 251,644 and 386,204

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Solution

The third proportional to 251,644 and 386,204 is: 592,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,644 : 386,204 = 386,204 : x
  2. Step 2: Convert to fraction form
    251,644/386,204 = 386,204/x
  3. Step 3: Cross multiply
    251,644x = 386,204 × 386,204
  4. Step 4: Simplify right side
    251,644x = 149,153,529,616
  5. Step 5: Solve for x
    x = 149,153,529,616/251,644
  6. Step 6: Final answer
    x = 592,716.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.