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Finding the Third Proportional to 115,022 and 244,948

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Solution

The third proportional to 115,022 and 244,948 is: 521,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,022 : 244,948 = 244,948 : x
  2. Step 2: Convert to fraction form
    115,022/244,948 = 244,948/x
  3. Step 3: Cross multiply
    115,022x = 244,948 × 244,948
  4. Step 4: Simplify right side
    115,022x = 59,999,522,704
  5. Step 5: Solve for x
    x = 59,999,522,704/115,022
  6. Step 6: Final answer
    x = 521,635.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.