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Finding the Third Proportional to 165,050 and 246,958

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Solution

The third proportional to 165,050 and 246,958 is: 369,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,050 : 246,958 = 246,958 : x
  2. Step 2: Convert to fraction form
    165,050/246,958 = 246,958/x
  3. Step 3: Cross multiply
    165,050x = 246,958 × 246,958
  4. Step 4: Simplify right side
    165,050x = 60,988,253,764
  5. Step 5: Solve for x
    x = 60,988,253,764/165,050
  6. Step 6: Final answer
    x = 369,513.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.