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Finding the Third Proportional to 180,736 and 392,584.75

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Solution

The third proportional to 180,736 and 392,584.75 is: 852,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,736 : 392,584.75 = 392,584.75 : x
  2. Step 2: Convert to fraction form
    180,736/392,584.75 = 392,584.75/x
  3. Step 3: Cross multiply
    180,736x = 392,584.75 × 392,584.75
  4. Step 4: Simplify right side
    180,736x = 154,122,785,932.56
  5. Step 5: Solve for x
    x = 154,122,785,932.56/180,736
  6. Step 6: Final answer
    x = 852,750.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.