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Finding the Third Proportional to 214,743 and 485,160

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Solution

The third proportional to 214,743 and 485,160 is: 1,096,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,743 : 485,160 = 485,160 : x
  2. Step 2: Convert to fraction form
    214,743/485,160 = 485,160/x
  3. Step 3: Cross multiply
    214,743x = 485,160 × 485,160
  4. Step 4: Simplify right side
    214,743x = 235,380,225,600
  5. Step 5: Solve for x
    x = 235,380,225,600/214,743
  6. Step 6: Final answer
    x = 1,096,101.97

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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.