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Finding the Third Proportional to 165,844 and 389,816

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Solution

The third proportional to 165,844 and 389,816 is: 916,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,844 : 389,816 = 389,816 : x
  2. Step 2: Convert to fraction form
    165,844/389,816 = 389,816/x
  3. Step 3: Cross multiply
    165,844x = 389,816 × 389,816
  4. Step 4: Simplify right side
    165,844x = 151,956,513,856
  5. Step 5: Solve for x
    x = 151,956,513,856/165,844
  6. Step 6: Final answer
    x = 916,261.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.