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Finding the Third Proportional to 112,822 and 247,783

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Solution

The third proportional to 112,822 and 247,783 is: 544,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,822 : 247,783 = 247,783 : x
  2. Step 2: Convert to fraction form
    112,822/247,783 = 247,783/x
  3. Step 3: Cross multiply
    112,822x = 247,783 × 247,783
  4. Step 4: Simplify right side
    112,822x = 61,396,415,089
  5. Step 5: Solve for x
    x = 61,396,415,089/112,822
  6. Step 6: Final answer
    x = 544,188.32

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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.