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Finding the Third Proportional to 179,660 and 381,226

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Solution

The third proportional to 179,660 and 381,226 is: 808,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,660 : 381,226 = 381,226 : x
  2. Step 2: Convert to fraction form
    179,660/381,226 = 381,226/x
  3. Step 3: Cross multiply
    179,660x = 381,226 × 381,226
  4. Step 4: Simplify right side
    179,660x = 145,333,263,076
  5. Step 5: Solve for x
    x = 145,333,263,076/179,660
  6. Step 6: Final answer
    x = 808,935.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.