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Finding the Third Proportional to 165,192 and 262,557

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Solution

The third proportional to 165,192 and 262,557 is: 417,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,192 : 262,557 = 262,557 : x
  2. Step 2: Convert to fraction form
    165,192/262,557 = 262,557/x
  3. Step 3: Cross multiply
    165,192x = 262,557 × 262,557
  4. Step 4: Simplify right side
    165,192x = 68,936,178,249
  5. Step 5: Solve for x
    x = 68,936,178,249/165,192
  6. Step 6: Final answer
    x = 417,309.42

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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.