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Finding the Third Proportional to 131,027.44 and 280,724.25

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Solution

The third proportional to 131,027.44 and 280,724.25 is: 601,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,027.44 : 280,724.25 = 280,724.25 : x
  2. Step 2: Convert to fraction form
    131,027.44/280,724.25 = 280,724.25/x
  3. Step 3: Cross multiply
    131,027.44x = 280,724.25 × 280,724.25
  4. Step 4: Simplify right side
    131,027.44x = 78,806,104,538.06
  5. Step 5: Solve for x
    x = 78,806,104,538.06/131,027.44
  6. Step 6: Final answer
    x = 601,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.