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Finding the Third Proportional to 127,100 and 276,333

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Solution

The third proportional to 127,100 and 276,333 is: 600,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,100 : 276,333 = 276,333 : x
  2. Step 2: Convert to fraction form
    127,100/276,333 = 276,333/x
  3. Step 3: Cross multiply
    127,100x = 276,333 × 276,333
  4. Step 4: Simplify right side
    127,100x = 76,359,926,889
  5. Step 5: Solve for x
    x = 76,359,926,889/127,100
  6. Step 6: Final answer
    x = 600,786.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.