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Finding the Third Proportional to 192,952 and 301,782

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Solution

The third proportional to 192,952 and 301,782 is: 471,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,952 : 301,782 = 301,782 : x
  2. Step 2: Convert to fraction form
    192,952/301,782 = 301,782/x
  3. Step 3: Cross multiply
    192,952x = 301,782 × 301,782
  4. Step 4: Simplify right side
    192,952x = 91,072,375,524
  5. Step 5: Solve for x
    x = 91,072,375,524/192,952
  6. Step 6: Final answer
    x = 471,994.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.