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Finding the Third Proportional to 165,993 and 355,653

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Solution

The third proportional to 165,993 and 355,653 is: 762,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,993 : 355,653 = 355,653 : x
  2. Step 2: Convert to fraction form
    165,993/355,653 = 355,653/x
  3. Step 3: Cross multiply
    165,993x = 355,653 × 355,653
  4. Step 4: Simplify right side
    165,993x = 126,489,056,409
  5. Step 5: Solve for x
    x = 126,489,056,409/165,993
  6. Step 6: Final answer
    x = 762,014.40

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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.