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Finding the Third Proportional to 248,434 and 351,195

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Solution

The third proportional to 248,434 and 351,195 is: 496,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,434 : 351,195 = 351,195 : x
  2. Step 2: Convert to fraction form
    248,434/351,195 = 351,195/x
  3. Step 3: Cross multiply
    248,434x = 351,195 × 351,195
  4. Step 4: Simplify right side
    248,434x = 123,337,928,025
  5. Step 5: Solve for x
    x = 123,337,928,025/248,434
  6. Step 6: Final answer
    x = 496,461.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.