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Finding the Third Proportional to 108,985.50 and 231,174

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Solution

The third proportional to 108,985.50 and 231,174 is: 490,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,985.50 : 231,174 = 231,174 : x
  2. Step 2: Convert to fraction form
    108,985.50/231,174 = 231,174/x
  3. Step 3: Cross multiply
    108,985.50x = 231,174 × 231,174
  4. Step 4: Simplify right side
    108,985.50x = 53,441,418,276
  5. Step 5: Solve for x
    x = 53,441,418,276/108,985.50
  6. Step 6: Final answer
    x = 490,353.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.