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Finding the Third Proportional to 165,402 and 262,869

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Solution

The third proportional to 165,402 and 262,869 is: 417,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,402 : 262,869 = 262,869 : x
  2. Step 2: Convert to fraction form
    165,402/262,869 = 262,869/x
  3. Step 3: Cross multiply
    165,402x = 262,869 × 262,869
  4. Step 4: Simplify right side
    165,402x = 69,100,111,161
  5. Step 5: Solve for x
    x = 69,100,111,161/165,402
  6. Step 6: Final answer
    x = 417,770.71

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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.