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Finding the Third Proportional to 165,996 and 355,659

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Solution

The third proportional to 165,996 and 355,659 is: 762,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,996 : 355,659 = 355,659 : x
  2. Step 2: Convert to fraction form
    165,996/355,659 = 355,659/x
  3. Step 3: Cross multiply
    165,996x = 355,659 × 355,659
  4. Step 4: Simplify right side
    165,996x = 126,493,324,281
  5. Step 5: Solve for x
    x = 126,493,324,281/165,996
  6. Step 6: Final answer
    x = 762,026.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.