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Finding the Third Proportional to 180,126 and 416,997

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Solution

The third proportional to 180,126 and 416,997 is: 965,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,126 : 416,997 = 416,997 : x
  2. Step 2: Convert to fraction form
    180,126/416,997 = 416,997/x
  3. Step 3: Cross multiply
    180,126x = 416,997 × 416,997
  4. Step 4: Simplify right side
    180,126x = 173,886,498,009
  5. Step 5: Solve for x
    x = 173,886,498,009/180,126
  6. Step 6: Final answer
    x = 965,360.35

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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.