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Finding the Third Proportional to 165,599 and 262,649

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Solution

The third proportional to 165,599 and 262,649 is: 416,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,599 : 262,649 = 262,649 : x
  2. Step 2: Convert to fraction form
    165,599/262,649 = 262,649/x
  3. Step 3: Cross multiply
    165,599x = 262,649 × 262,649
  4. Step 4: Simplify right side
    165,599x = 68,984,497,201
  5. Step 5: Solve for x
    x = 68,984,497,201/165,599
  6. Step 6: Final answer
    x = 416,575.57

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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.