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Finding the Third Proportional to 165,687 and 262,773

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Solution

The third proportional to 165,687 and 262,773 is: 416,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,687 : 262,773 = 262,773 : x
  2. Step 2: Convert to fraction form
    165,687/262,773 = 262,773/x
  3. Step 3: Cross multiply
    165,687x = 262,773 × 262,773
  4. Step 4: Simplify right side
    165,687x = 69,049,649,529
  5. Step 5: Solve for x
    x = 69,049,649,529/165,687
  6. Step 6: Final answer
    x = 416,747.54

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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.