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Finding the Third Proportional to 116,566 and 250,120

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Solution

The third proportional to 116,566 and 250,120 is: 536,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,566 : 250,120 = 250,120 : x
  2. Step 2: Convert to fraction form
    116,566/250,120 = 250,120/x
  3. Step 3: Cross multiply
    116,566x = 250,120 × 250,120
  4. Step 4: Simplify right side
    116,566x = 62,560,014,400
  5. Step 5: Solve for x
    x = 62,560,014,400/116,566
  6. Step 6: Final answer
    x = 536,691.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.