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Finding the Third Proportional to 165,231 and 262,647

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Solution

The third proportional to 165,231 and 262,647 is: 417,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,231 : 262,647 = 262,647 : x
  2. Step 2: Convert to fraction form
    165,231/262,647 = 262,647/x
  3. Step 3: Cross multiply
    165,231x = 262,647 × 262,647
  4. Step 4: Simplify right side
    165,231x = 68,983,446,609
  5. Step 5: Solve for x
    x = 68,983,446,609/165,231
  6. Step 6: Final answer
    x = 417,497.00

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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.