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Finding the Third Proportional to 230,222.25 and 498,276.56

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Solution

The third proportional to 230,222.25 and 498,276.56 is: 1,078,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,222.25 : 498,276.56 = 498,276.56 : x
  2. Step 2: Convert to fraction form
    230,222.25/498,276.56 = 498,276.56/x
  3. Step 3: Cross multiply
    230,222.25x = 498,276.56 × 498,276.56
  4. Step 4: Simplify right side
    230,222.25x = 248,279,532,736.82
  5. Step 5: Solve for x
    x = 248,279,532,736.82/230,222.25
  6. Step 6: Final answer
    x = 1,078,434.13

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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.