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Finding the Third Proportional to 115,084.50 and 251,079

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Solution

The third proportional to 115,084.50 and 251,079 is: 547,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,084.50 : 251,079 = 251,079 : x
  2. Step 2: Convert to fraction form
    115,084.50/251,079 = 251,079/x
  3. Step 3: Cross multiply
    115,084.50x = 251,079 × 251,079
  4. Step 4: Simplify right side
    115,084.50x = 63,040,664,241
  5. Step 5: Solve for x
    x = 63,040,664,241/115,084.50
  6. Step 6: Final answer
    x = 547,777.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.