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Finding the Third Proportional to 179,500 and 364,886

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Solution

The third proportional to 179,500 and 364,886 is: 741,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,500 : 364,886 = 364,886 : x
  2. Step 2: Convert to fraction form
    179,500/364,886 = 364,886/x
  3. Step 3: Cross multiply
    179,500x = 364,886 × 364,886
  4. Step 4: Simplify right side
    179,500x = 133,141,792,996
  5. Step 5: Solve for x
    x = 133,141,792,996/179,500
  6. Step 6: Final answer
    x = 741,737.01

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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.