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Finding the Third Proportional to 110,847 and 237,447

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Solution

The third proportional to 110,847 and 237,447 is: 508,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,847 : 237,447 = 237,447 : x
  2. Step 2: Convert to fraction form
    110,847/237,447 = 237,447/x
  3. Step 3: Cross multiply
    110,847x = 237,447 × 237,447
  4. Step 4: Simplify right side
    110,847x = 56,381,077,809
  5. Step 5: Solve for x
    x = 56,381,077,809/110,847
  6. Step 6: Final answer
    x = 508,638.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.