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Finding the Third Proportional to 214,744 and 485,166

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Solution

The third proportional to 214,744 and 485,166 is: 1,096,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,744 : 485,166 = 485,166 : x
  2. Step 2: Convert to fraction form
    214,744/485,166 = 485,166/x
  3. Step 3: Cross multiply
    214,744x = 485,166 × 485,166
  4. Step 4: Simplify right side
    214,744x = 235,386,047,556
  5. Step 5: Solve for x
    x = 235,386,047,556/214,744
  6. Step 6: Final answer
    x = 1,096,123.98

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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.