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Finding the Third Proportional to 189,910 and 416,052

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Solution

The third proportional to 189,910 and 416,052 is: 911,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,910 : 416,052 = 416,052 : x
  2. Step 2: Convert to fraction form
    189,910/416,052 = 416,052/x
  3. Step 3: Cross multiply
    189,910x = 416,052 × 416,052
  4. Step 4: Simplify right side
    189,910x = 173,099,266,704
  5. Step 5: Solve for x
    x = 173,099,266,704/189,910
  6. Step 6: Final answer
    x = 911,480.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.