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Finding the Third Proportional to 116,776 and 241,856

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Solution

The third proportional to 116,776 and 241,856 is: 500,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,776 : 241,856 = 241,856 : x
  2. Step 2: Convert to fraction form
    116,776/241,856 = 241,856/x
  3. Step 3: Cross multiply
    116,776x = 241,856 × 241,856
  4. Step 4: Simplify right side
    116,776x = 58,494,324,736
  5. Step 5: Solve for x
    x = 58,494,324,736/116,776
  6. Step 6: Final answer
    x = 500,910.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.