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Finding the Third Proportional to 166,974 and 365,784

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Solution

The third proportional to 166,974 and 365,784 is: 801,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,974 : 365,784 = 365,784 : x
  2. Step 2: Convert to fraction form
    166,974/365,784 = 365,784/x
  3. Step 3: Cross multiply
    166,974x = 365,784 × 365,784
  4. Step 4: Simplify right side
    166,974x = 133,797,934,656
  5. Step 5: Solve for x
    x = 133,797,934,656/166,974
  6. Step 6: Final answer
    x = 801,309.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.