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Finding the Third Proportional to 180,171 and 417,048.75

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Solution

The third proportional to 180,171 and 417,048.75 is: 965,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,171 : 417,048.75 = 417,048.75 : x
  2. Step 2: Convert to fraction form
    180,171/417,048.75 = 417,048.75/x
  3. Step 3: Cross multiply
    180,171x = 417,048.75 × 417,048.75
  4. Step 4: Simplify right side
    180,171x = 173,929,659,876.56
  5. Step 5: Solve for x
    x = 173,929,659,876.56/180,171
  6. Step 6: Final answer
    x = 965,358.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.