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Finding the Third Proportional to 214,742 and 485,161

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Solution

The third proportional to 214,742 and 485,161 is: 1,096,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,742 : 485,161 = 485,161 : x
  2. Step 2: Convert to fraction form
    214,742/485,161 = 485,161/x
  3. Step 3: Cross multiply
    214,742x = 485,161 × 485,161
  4. Step 4: Simplify right side
    214,742x = 235,381,195,921
  5. Step 5: Solve for x
    x = 235,381,195,921/214,742
  6. Step 6: Final answer
    x = 1,096,111.59

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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.