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Finding the Third Proportional to 180,114 and 416,967

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Solution

The third proportional to 180,114 and 416,967 is: 965,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,114 : 416,967 = 416,967 : x
  2. Step 2: Convert to fraction form
    180,114/416,967 = 416,967/x
  3. Step 3: Cross multiply
    180,114x = 416,967 × 416,967
  4. Step 4: Simplify right side
    180,114x = 173,861,479,089
  5. Step 5: Solve for x
    x = 173,861,479,089/180,114
  6. Step 6: Final answer
    x = 965,285.76

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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.