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Finding the Third Proportional to 112,830 and 241,212

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Solution

The third proportional to 112,830 and 241,212 is: 515,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,830 : 241,212 = 241,212 : x
  2. Step 2: Convert to fraction form
    112,830/241,212 = 241,212/x
  3. Step 3: Cross multiply
    112,830x = 241,212 × 241,212
  4. Step 4: Simplify right side
    112,830x = 58,183,228,944
  5. Step 5: Solve for x
    x = 58,183,228,944/112,830
  6. Step 6: Final answer
    x = 515,671.62

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