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Finding the Third Proportional to 199,596 and 301,462

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Solution

The third proportional to 199,596 and 301,462 is: 455,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,596 : 301,462 = 301,462 : x
  2. Step 2: Convert to fraction form
    199,596/301,462 = 301,462/x
  3. Step 3: Cross multiply
    199,596x = 301,462 × 301,462
  4. Step 4: Simplify right side
    199,596x = 90,879,337,444
  5. Step 5: Solve for x
    x = 90,879,337,444/199,596
  6. Step 6: Final answer
    x = 455,316.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.