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Finding the Third Proportional to 127,078 and 264,691

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Solution

The third proportional to 127,078 and 264,691 is: 551,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,078 : 264,691 = 264,691 : x
  2. Step 2: Convert to fraction form
    127,078/264,691 = 264,691/x
  3. Step 3: Cross multiply
    127,078x = 264,691 × 264,691
  4. Step 4: Simplify right side
    127,078x = 70,061,325,481
  5. Step 5: Solve for x
    x = 70,061,325,481/127,078
  6. Step 6: Final answer
    x = 551,325.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.