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Finding the Third Proportional to 194,474 and 248,475

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Solution

The third proportional to 194,474 and 248,475 is: 317,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,474 : 248,475 = 248,475 : x
  2. Step 2: Convert to fraction form
    194,474/248,475 = 248,475/x
  3. Step 3: Cross multiply
    194,474x = 248,475 × 248,475
  4. Step 4: Simplify right side
    194,474x = 61,739,825,625
  5. Step 5: Solve for x
    x = 61,739,825,625/194,474
  6. Step 6: Final answer
    x = 317,470.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.