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Finding the Third Proportional to 165,202 and 262,565

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Solution

The third proportional to 165,202 and 262,565 is: 417,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,202 : 262,565 = 262,565 : x
  2. Step 2: Convert to fraction form
    165,202/262,565 = 262,565/x
  3. Step 3: Cross multiply
    165,202x = 262,565 × 262,565
  4. Step 4: Simplify right side
    165,202x = 68,940,379,225
  5. Step 5: Solve for x
    x = 68,940,379,225/165,202
  6. Step 6: Final answer
    x = 417,309.59

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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.