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Finding the Third Proportional to 179,501.50 and 364,889

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Solution

The third proportional to 179,501.50 and 364,889 is: 741,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,501.50 : 364,889 = 364,889 : x
  2. Step 2: Convert to fraction form
    179,501.50/364,889 = 364,889/x
  3. Step 3: Cross multiply
    179,501.50x = 364,889 × 364,889
  4. Step 4: Simplify right side
    179,501.50x = 133,143,982,321
  5. Step 5: Solve for x
    x = 133,143,982,321/179,501.50
  6. Step 6: Final answer
    x = 741,743.01

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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.