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Finding the Third Proportional to 165,378 and 262,833

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Solution

The third proportional to 165,378 and 262,833 is: 417,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,378 : 262,833 = 262,833 : x
  2. Step 2: Convert to fraction form
    165,378/262,833 = 262,833/x
  3. Step 3: Cross multiply
    165,378x = 262,833 × 262,833
  4. Step 4: Simplify right side
    165,378x = 69,081,185,889
  5. Step 5: Solve for x
    x = 69,081,185,889/165,378
  6. Step 6: Final answer
    x = 417,716.90

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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.