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Finding the Third Proportional to 130,997.25 and 282,912.75

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Solution

The third proportional to 130,997.25 and 282,912.75 is: 611,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,997.25 : 282,912.75 = 282,912.75 : x
  2. Step 2: Convert to fraction form
    130,997.25/282,912.75 = 282,912.75/x
  3. Step 3: Cross multiply
    130,997.25x = 282,912.75 × 282,912.75
  4. Step 4: Simplify right side
    130,997.25x = 80,039,624,112.56
  5. Step 5: Solve for x
    x = 80,039,624,112.56/130,997.25
  6. Step 6: Final answer
    x = 611,002.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.