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Finding the Third Proportional to 116,842 and 248,267

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Solution

The third proportional to 116,842 and 248,267 is: 527,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,842 : 248,267 = 248,267 : x
  2. Step 2: Convert to fraction form
    116,842/248,267 = 248,267/x
  3. Step 3: Cross multiply
    116,842x = 248,267 × 248,267
  4. Step 4: Simplify right side
    116,842x = 61,636,503,289
  5. Step 5: Solve for x
    x = 61,636,503,289/116,842
  6. Step 6: Final answer
    x = 527,520.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.