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Finding the Third Proportional to 199,958 and 318,002

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Solution

The third proportional to 199,958 and 318,002 is: 505,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,958 : 318,002 = 318,002 : x
  2. Step 2: Convert to fraction form
    199,958/318,002 = 318,002/x
  3. Step 3: Cross multiply
    199,958x = 318,002 × 318,002
  4. Step 4: Simplify right side
    199,958x = 101,125,272,004
  5. Step 5: Solve for x
    x = 101,125,272,004/199,958
  6. Step 6: Final answer
    x = 505,732.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.