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Finding the Third Proportional to 165,496 and 255,734

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Solution

The third proportional to 165,496 and 255,734 is: 395,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,496 : 255,734 = 255,734 : x
  2. Step 2: Convert to fraction form
    165,496/255,734 = 255,734/x
  3. Step 3: Cross multiply
    165,496x = 255,734 × 255,734
  4. Step 4: Simplify right side
    165,496x = 65,399,878,756
  5. Step 5: Solve for x
    x = 65,399,878,756/165,496
  6. Step 6: Final answer
    x = 395,174.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.