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Finding the Third Proportional to 179,502.50 and 364,891

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Solution

The third proportional to 179,502.50 and 364,891 is: 741,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,502.50 : 364,891 = 364,891 : x
  2. Step 2: Convert to fraction form
    179,502.50/364,891 = 364,891/x
  3. Step 3: Cross multiply
    179,502.50x = 364,891 × 364,891
  4. Step 4: Simplify right side
    179,502.50x = 133,145,441,881
  5. Step 5: Solve for x
    x = 133,145,441,881/179,502.50
  6. Step 6: Final answer
    x = 741,747.01

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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.