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Finding the Third Proportional to 165,833 and 389,797

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Solution

The third proportional to 165,833 and 389,797 is: 916,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,833 : 389,797 = 389,797 : x
  2. Step 2: Convert to fraction form
    165,833/389,797 = 389,797/x
  3. Step 3: Cross multiply
    165,833x = 389,797 × 389,797
  4. Step 4: Simplify right side
    165,833x = 151,941,701,209
  5. Step 5: Solve for x
    x = 151,941,701,209/165,833
  6. Step 6: Final answer
    x = 916,233.21

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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.