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Finding the Third Proportional to 235,350 and 359,183

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Solution

The third proportional to 235,350 and 359,183 is: 548,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,350 : 359,183 = 359,183 : x
  2. Step 2: Convert to fraction form
    235,350/359,183 = 359,183/x
  3. Step 3: Cross multiply
    235,350x = 359,183 × 359,183
  4. Step 4: Simplify right side
    235,350x = 129,012,427,489
  5. Step 5: Solve for x
    x = 129,012,427,489/235,350
  6. Step 6: Final answer
    x = 548,172.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.