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Finding the Third Proportional to 180,132 and 417,012

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Solution

The third proportional to 180,132 and 417,012 is: 965,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132 : 417,012 = 417,012 : x
  2. Step 2: Convert to fraction form
    180,132/417,012 = 417,012/x
  3. Step 3: Cross multiply
    180,132x = 417,012 × 417,012
  4. Step 4: Simplify right side
    180,132x = 173,899,008,144
  5. Step 5: Solve for x
    x = 173,899,008,144/180,132
  6. Step 6: Final answer
    x = 965,397.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.