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Finding the Third Proportional to 165,713 and 262,818

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Solution

The third proportional to 165,713 and 262,818 is: 416,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,713 : 262,818 = 262,818 : x
  2. Step 2: Convert to fraction form
    165,713/262,818 = 262,818/x
  3. Step 3: Cross multiply
    165,713x = 262,818 × 262,818
  4. Step 4: Simplify right side
    165,713x = 69,073,301,124
  5. Step 5: Solve for x
    x = 69,073,301,124/165,713
  6. Step 6: Final answer
    x = 416,824.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.