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Finding the Third Proportional to 251,023.50 and 351,108

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Solution

The third proportional to 251,023.50 and 351,108 is: 491,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,023.50 : 351,108 = 351,108 : x
  2. Step 2: Convert to fraction form
    251,023.50/351,108 = 351,108/x
  3. Step 3: Cross multiply
    251,023.50x = 351,108 × 351,108
  4. Step 4: Simplify right side
    251,023.50x = 123,276,827,664
  5. Step 5: Solve for x
    x = 123,276,827,664/251,023.50
  6. Step 6: Final answer
    x = 491,096.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.