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Finding the Third Proportional to 165,162 and 361,878

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Solution

The third proportional to 165,162 and 361,878 is: 792,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,162 : 361,878 = 361,878 : x
  2. Step 2: Convert to fraction form
    165,162/361,878 = 361,878/x
  3. Step 3: Cross multiply
    165,162x = 361,878 × 361,878
  4. Step 4: Simplify right side
    165,162x = 130,955,686,884
  5. Step 5: Solve for x
    x = 130,955,686,884/165,162
  6. Step 6: Final answer
    x = 792,892.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.