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Finding the Third Proportional to 108,906.75 and 234,501.75

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Solution

The third proportional to 108,906.75 and 234,501.75 is: 504,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,906.75 : 234,501.75 = 234,501.75 : x
  2. Step 2: Convert to fraction form
    108,906.75/234,501.75 = 234,501.75/x
  3. Step 3: Cross multiply
    108,906.75x = 234,501.75 × 234,501.75
  4. Step 4: Simplify right side
    108,906.75x = 54,991,070,753.06
  5. Step 5: Solve for x
    x = 54,991,070,753.06/108,906.75
  6. Step 6: Final answer
    x = 504,937.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.