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Finding the Third Proportional to 270,151.25 and 582,199.75

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Solution

The third proportional to 270,151.25 and 582,199.75 is: 1,254,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,151.25 : 582,199.75 = 582,199.75 : x
  2. Step 2: Convert to fraction form
    270,151.25/582,199.75 = 582,199.75/x
  3. Step 3: Cross multiply
    270,151.25x = 582,199.75 × 582,199.75
  4. Step 4: Simplify right side
    270,151.25x = 338,956,548,900.06
  5. Step 5: Solve for x
    x = 338,956,548,900.06/270,151.25
  6. Step 6: Final answer
    x = 1,254,691.77

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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.