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Finding the Third Proportional to 256,138 and 551,732

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Solution

The third proportional to 256,138 and 551,732 is: 1,188,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138 : 551,732 = 551,732 : x
  2. Step 2: Convert to fraction form
    256,138/551,732 = 551,732/x
  3. Step 3: Cross multiply
    256,138x = 551,732 × 551,732
  4. Step 4: Simplify right side
    256,138x = 304,408,199,824
  5. Step 5: Solve for x
    x = 304,408,199,824/256,138
  6. Step 6: Final answer
    x = 1,188,453.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.