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Finding the Third Proportional to 165,986 and 359,924

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Solution

The third proportional to 165,986 and 359,924 is: 780,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,986 : 359,924 = 359,924 : x
  2. Step 2: Convert to fraction form
    165,986/359,924 = 359,924/x
  3. Step 3: Cross multiply
    165,986x = 359,924 × 359,924
  4. Step 4: Simplify right side
    165,986x = 129,545,285,776
  5. Step 5: Solve for x
    x = 129,545,285,776/165,986
  6. Step 6: Final answer
    x = 780,459.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.