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Finding the Third Proportional to 113,469 and 241,842

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Solution

The third proportional to 113,469 and 241,842 is: 515,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,469 : 241,842 = 241,842 : x
  2. Step 2: Convert to fraction form
    113,469/241,842 = 241,842/x
  3. Step 3: Cross multiply
    113,469x = 241,842 × 241,842
  4. Step 4: Simplify right side
    113,469x = 58,487,552,964
  5. Step 5: Solve for x
    x = 58,487,552,964/113,469
  6. Step 6: Final answer
    x = 515,449.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.