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Finding the Third Proportional to 116,648 and 241,598

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Solution

The third proportional to 116,648 and 241,598 is: 500,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,648 : 241,598 = 241,598 : x
  2. Step 2: Convert to fraction form
    116,648/241,598 = 241,598/x
  3. Step 3: Cross multiply
    116,648x = 241,598 × 241,598
  4. Step 4: Simplify right side
    116,648x = 58,369,593,604
  5. Step 5: Solve for x
    x = 58,369,593,604/116,648
  6. Step 6: Final answer
    x = 500,390.86

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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.