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Finding the Third Proportional to 192,800 and 301,508

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Solution

The third proportional to 192,800 and 301,508 is: 471,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,800 : 301,508 = 301,508 : x
  2. Step 2: Convert to fraction form
    192,800/301,508 = 301,508/x
  3. Step 3: Cross multiply
    192,800x = 301,508 × 301,508
  4. Step 4: Simplify right side
    192,800x = 90,907,074,064
  5. Step 5: Solve for x
    x = 90,907,074,064/192,800
  6. Step 6: Final answer
    x = 471,509.72

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