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Finding the Third Proportional to 116,016 and 245,760

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Solution

The third proportional to 116,016 and 245,760 is: 520,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,016 : 245,760 = 245,760 : x
  2. Step 2: Convert to fraction form
    116,016/245,760 = 245,760/x
  3. Step 3: Cross multiply
    116,016x = 245,760 × 245,760
  4. Step 4: Simplify right side
    116,016x = 60,397,977,600
  5. Step 5: Solve for x
    x = 60,397,977,600/116,016
  6. Step 6: Final answer
    x = 520,600.41

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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.