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Finding the Third Proportional to 179,640.75 and 299,385

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Solution

The third proportional to 179,640.75 and 299,385 is: 498,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,640.75 : 299,385 = 299,385 : x
  2. Step 2: Convert to fraction form
    179,640.75/299,385 = 299,385/x
  3. Step 3: Cross multiply
    179,640.75x = 299,385 × 299,385
  4. Step 4: Simplify right side
    179,640.75x = 89,631,378,225
  5. Step 5: Solve for x
    x = 89,631,378,225/179,640.75
  6. Step 6: Final answer
    x = 498,947.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.