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Finding the Third Proportional to 108,103.50 and 232,815

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Solution

The third proportional to 108,103.50 and 232,815 is: 501,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,103.50 : 232,815 = 232,815 : x
  2. Step 2: Convert to fraction form
    108,103.50/232,815 = 232,815/x
  3. Step 3: Cross multiply
    108,103.50x = 232,815 × 232,815
  4. Step 4: Simplify right side
    108,103.50x = 54,202,824,225
  5. Step 5: Solve for x
    x = 54,202,824,225/108,103.50
  6. Step 6: Final answer
    x = 501,397.50

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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.