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Finding the Third Proportional to 112,820 and 241,192

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Solution

The third proportional to 112,820 and 241,192 is: 515,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,820 : 241,192 = 241,192 : x
  2. Step 2: Convert to fraction form
    112,820/241,192 = 241,192/x
  3. Step 3: Cross multiply
    112,820x = 241,192 × 241,192
  4. Step 4: Simplify right side
    112,820x = 58,173,580,864
  5. Step 5: Solve for x
    x = 58,173,580,864/112,820
  6. Step 6: Final answer
    x = 515,631.81

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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.