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Finding the Third Proportional to 248,434 and 351,194

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Solution

The third proportional to 248,434 and 351,194 is: 496,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,434 : 351,194 = 351,194 : x
  2. Step 2: Convert to fraction form
    248,434/351,194 = 351,194/x
  3. Step 3: Cross multiply
    248,434x = 351,194 × 351,194
  4. Step 4: Simplify right side
    248,434x = 123,337,225,636
  5. Step 5: Solve for x
    x = 123,337,225,636/248,434
  6. Step 6: Final answer
    x = 496,458.72

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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.