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Finding the Third Proportional to 204,032 and 313,500

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Solution

The third proportional to 204,032 and 313,500 is: 481,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032 : 313,500 = 313,500 : x
  2. Step 2: Convert to fraction form
    204,032/313,500 = 313,500/x
  3. Step 3: Cross multiply
    204,032x = 313,500 × 313,500
  4. Step 4: Simplify right side
    204,032x = 98,282,250,000
  5. Step 5: Solve for x
    x = 98,282,250,000/204,032
  6. Step 6: Final answer
    x = 481,700.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.