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Finding the Third Proportional to 112,833 and 247,809

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Solution

The third proportional to 112,833 and 247,809 is: 544,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,833 : 247,809 = 247,809 : x
  2. Step 2: Convert to fraction form
    112,833/247,809 = 247,809/x
  3. Step 3: Cross multiply
    112,833x = 247,809 × 247,809
  4. Step 4: Simplify right side
    112,833x = 61,409,300,481
  5. Step 5: Solve for x
    x = 61,409,300,481/112,833
  6. Step 6: Final answer
    x = 544,249.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.