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Finding the Third Proportional to 165,362 and 262,187

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Solution

The third proportional to 165,362 and 262,187 is: 415,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,362 : 262,187 = 262,187 : x
  2. Step 2: Convert to fraction form
    165,362/262,187 = 262,187/x
  3. Step 3: Cross multiply
    165,362x = 262,187 × 262,187
  4. Step 4: Simplify right side
    165,362x = 68,742,022,969
  5. Step 5: Solve for x
    x = 68,742,022,969/165,362
  6. Step 6: Final answer
    x = 415,706.29

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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.