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Finding the Third Proportional to 270,200.81 and 582,152.06

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Solution

The third proportional to 270,200.81 and 582,152.06 is: 1,254,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,200.81 : 582,152.06 = 582,152.06 : x
  2. Step 2: Convert to fraction form
    270,200.81/582,152.06 = 582,152.06/x
  3. Step 3: Cross multiply
    270,200.81x = 582,152.06 × 582,152.06
  4. Step 4: Simplify right side
    270,200.81x = 338,901,023,873.00
  5. Step 5: Solve for x
    x = 338,901,023,873.00/270,200.81
  6. Step 6: Final answer
    x = 1,254,256.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.