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Finding the Third Proportional to 165,769 and 262,889

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Solution

The third proportional to 165,769 and 262,889 is: 416,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,769 : 262,889 = 262,889 : x
  2. Step 2: Convert to fraction form
    165,769/262,889 = 262,889/x
  3. Step 3: Cross multiply
    165,769x = 262,889 × 262,889
  4. Step 4: Simplify right side
    165,769x = 69,110,626,321
  5. Step 5: Solve for x
    x = 69,110,626,321/165,769
  6. Step 6: Final answer
    x = 416,909.23

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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.