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Finding the Third Proportional to 226,246.50 and 446,781

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Solution

The third proportional to 226,246.50 and 446,781 is: 882,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,246.50 : 446,781 = 446,781 : x
  2. Step 2: Convert to fraction form
    226,246.50/446,781 = 446,781/x
  3. Step 3: Cross multiply
    226,246.50x = 446,781 × 446,781
  4. Step 4: Simplify right side
    226,246.50x = 199,613,261,961
  5. Step 5: Solve for x
    x = 199,613,261,961/226,246.50
  6. Step 6: Final answer
    x = 882,282.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.