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Finding the Third Proportional to 185,037.75 and 276,807.38

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Solution

The third proportional to 185,037.75 and 276,807.38 is: 414,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,037.75 : 276,807.38 = 276,807.38 : x
  2. Step 2: Convert to fraction form
    185,037.75/276,807.38 = 276,807.38/x
  3. Step 3: Cross multiply
    185,037.75x = 276,807.38 × 276,807.38
  4. Step 4: Simplify right side
    185,037.75x = 76,622,322,854.39
  5. Step 5: Solve for x
    x = 76,622,322,854.39/185,037.75
  6. Step 6: Final answer
    x = 414,090.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.