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Finding the Third Proportional to 199,659 and 301,566

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Solution

The third proportional to 199,659 and 301,566 is: 455,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,659 : 301,566 = 301,566 : x
  2. Step 2: Convert to fraction form
    199,659/301,566 = 301,566/x
  3. Step 3: Cross multiply
    199,659x = 301,566 × 301,566
  4. Step 4: Simplify right side
    199,659x = 90,942,052,356
  5. Step 5: Solve for x
    x = 90,942,052,356/199,659
  6. Step 6: Final answer
    x = 455,486.87

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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.