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Finding the Third Proportional to 103,808 and 225,841

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Solution

The third proportional to 103,808 and 225,841 is: 491,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,808 : 225,841 = 225,841 : x
  2. Step 2: Convert to fraction form
    103,808/225,841 = 225,841/x
  3. Step 3: Cross multiply
    103,808x = 225,841 × 225,841
  4. Step 4: Simplify right side
    103,808x = 51,004,157,281
  5. Step 5: Solve for x
    x = 51,004,157,281/103,808
  6. Step 6: Final answer
    x = 491,331.66

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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.