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Finding the Third Proportional to 179,829 and 364,974

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Solution

The third proportional to 179,829 and 364,974 is: 740,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,829 : 364,974 = 364,974 : x
  2. Step 2: Convert to fraction form
    179,829/364,974 = 364,974/x
  3. Step 3: Cross multiply
    179,829x = 364,974 × 364,974
  4. Step 4: Simplify right side
    179,829x = 133,206,020,676
  5. Step 5: Solve for x
    x = 133,206,020,676/179,829
  6. Step 6: Final answer
    x = 740,737.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.