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Finding the Third Proportional to 214,746 and 485,171

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Solution

The third proportional to 214,746 and 485,171 is: 1,096,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,746 : 485,171 = 485,171 : x
  2. Step 2: Convert to fraction form
    214,746/485,171 = 485,171/x
  3. Step 3: Cross multiply
    214,746x = 485,171 × 485,171
  4. Step 4: Simplify right side
    214,746x = 235,390,899,241
  5. Step 5: Solve for x
    x = 235,390,899,241/214,746
  6. Step 6: Final answer
    x = 1,096,136.36

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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.