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Finding the Third Proportional to 127,098 and 264,722

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Solution

The third proportional to 127,098 and 264,722 is: 551,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,098 : 264,722 = 264,722 : x
  2. Step 2: Convert to fraction form
    127,098/264,722 = 264,722/x
  3. Step 3: Cross multiply
    127,098x = 264,722 × 264,722
  4. Step 4: Simplify right side
    127,098x = 70,077,737,284
  5. Step 5: Solve for x
    x = 70,077,737,284/127,098
  6. Step 6: Final answer
    x = 551,367.74

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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.