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Finding the Third Proportional to 108,974.27 and 234,647.19

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Solution

The third proportional to 108,974.27 and 234,647.19 is: 505,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,974.27 : 234,647.19 = 234,647.19 : x
  2. Step 2: Convert to fraction form
    108,974.27/234,647.19 = 234,647.19/x
  3. Step 3: Cross multiply
    108,974.27x = 234,647.19 × 234,647.19
  4. Step 4: Simplify right side
    108,974.27x = 55,059,304,434.84
  5. Step 5: Solve for x
    x = 55,059,304,434.84/108,974.27
  6. Step 6: Final answer
    x = 505,250.51

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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.