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Finding the Third Proportional to 251,207 and 382,692

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Solution

The third proportional to 251,207 and 382,692 is: 582,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,207 : 382,692 = 382,692 : x
  2. Step 2: Convert to fraction form
    251,207/382,692 = 382,692/x
  3. Step 3: Cross multiply
    251,207x = 382,692 × 382,692
  4. Step 4: Simplify right side
    251,207x = 146,453,166,864
  5. Step 5: Solve for x
    x = 146,453,166,864/251,207
  6. Step 6: Final answer
    x = 582,997.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.