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Finding the Third Proportional to 165,780 and 254,962

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Solution

The third proportional to 165,780 and 254,962 is: 392,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,780 : 254,962 = 254,962 : x
  2. Step 2: Convert to fraction form
    165,780/254,962 = 254,962/x
  3. Step 3: Cross multiply
    165,780x = 254,962 × 254,962
  4. Step 4: Simplify right side
    165,780x = 65,005,621,444
  5. Step 5: Solve for x
    x = 65,005,621,444/165,780
  6. Step 6: Final answer
    x = 392,119.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.