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Finding the Third Proportional to 179,622 and 386,338

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Solution

The third proportional to 179,622 and 386,338 is: 830,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,622 : 386,338 = 386,338 : x
  2. Step 2: Convert to fraction form
    179,622/386,338 = 386,338/x
  3. Step 3: Cross multiply
    179,622x = 386,338 × 386,338
  4. Step 4: Simplify right side
    179,622x = 149,257,050,244
  5. Step 5: Solve for x
    x = 149,257,050,244/179,622
  6. Step 6: Final answer
    x = 830,950.83

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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.