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Finding the Third Proportional to 112,842 and 241,236

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Solution

The third proportional to 112,842 and 241,236 is: 515,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,842 : 241,236 = 241,236 : x
  2. Step 2: Convert to fraction form
    112,842/241,236 = 241,236/x
  3. Step 3: Cross multiply
    112,842x = 241,236 × 241,236
  4. Step 4: Simplify right side
    112,842x = 58,194,807,696
  5. Step 5: Solve for x
    x = 58,194,807,696/112,842
  6. Step 6: Final answer
    x = 515,719.39

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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.