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Finding the Third Proportional to 108,893.50 and 234,470

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Solution

The third proportional to 108,893.50 and 234,470 is: 504,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,893.50 : 234,470 = 234,470 : x
  2. Step 2: Convert to fraction form
    108,893.50/234,470 = 234,470/x
  3. Step 3: Cross multiply
    108,893.50x = 234,470 × 234,470
  4. Step 4: Simplify right side
    108,893.50x = 54,976,180,900
  5. Step 5: Solve for x
    x = 54,976,180,900/108,893.50
  6. Step 6: Final answer
    x = 504,861.91

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