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Finding the Third Proportional to 103,854 and 225,933

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Solution

The third proportional to 103,854 and 225,933 is: 491,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854 : 225,933 = 225,933 : x
  2. Step 2: Convert to fraction form
    103,854/225,933 = 225,933/x
  3. Step 3: Cross multiply
    103,854x = 225,933 × 225,933
  4. Step 4: Simplify right side
    103,854x = 51,045,720,489
  5. Step 5: Solve for x
    x = 51,045,720,489/103,854
  6. Step 6: Final answer
    x = 491,514.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.