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Finding the Third Proportional to 112,272 and 246,816

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Solution

The third proportional to 112,272 and 246,816 is: 542,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,272 : 246,816 = 246,816 : x
  2. Step 2: Convert to fraction form
    112,272/246,816 = 246,816/x
  3. Step 3: Cross multiply
    112,272x = 246,816 × 246,816
  4. Step 4: Simplify right side
    112,272x = 60,918,137,856
  5. Step 5: Solve for x
    x = 60,918,137,856/112,272
  6. Step 6: Final answer
    x = 542,594.22

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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.