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Finding the Third Proportional to 108,990 and 234,108

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Solution

The third proportional to 108,990 and 234,108 is: 502,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,990 : 234,108 = 234,108 : x
  2. Step 2: Convert to fraction form
    108,990/234,108 = 234,108/x
  3. Step 3: Cross multiply
    108,990x = 234,108 × 234,108
  4. Step 4: Simplify right side
    108,990x = 54,806,555,664
  5. Step 5: Solve for x
    x = 54,806,555,664/108,990
  6. Step 6: Final answer
    x = 502,858.57

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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.