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Finding the Third Proportional to 150,268 and 351,202

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Solution

The third proportional to 150,268 and 351,202 is: 820,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,268 : 351,202 = 351,202 : x
  2. Step 2: Convert to fraction form
    150,268/351,202 = 351,202/x
  3. Step 3: Cross multiply
    150,268x = 351,202 × 351,202
  4. Step 4: Simplify right side
    150,268x = 123,342,844,804
  5. Step 5: Solve for x
    x = 123,342,844,804/150,268
  6. Step 6: Final answer
    x = 820,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.