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Finding the Third Proportional to 214,745 and 485,165

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Solution

The third proportional to 214,745 and 485,165 is: 1,096,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,745 : 485,165 = 485,165 : x
  2. Step 2: Convert to fraction form
    214,745/485,165 = 485,165/x
  3. Step 3: Cross multiply
    214,745x = 485,165 × 485,165
  4. Step 4: Simplify right side
    214,745x = 235,385,077,225
  5. Step 5: Solve for x
    x = 235,385,077,225/214,745
  6. Step 6: Final answer
    x = 1,096,114.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.