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Finding the Third Proportional to 165,194 and 262,560

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Solution

The third proportional to 165,194 and 262,560 is: 417,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,194 : 262,560 = 262,560 : x
  2. Step 2: Convert to fraction form
    165,194/262,560 = 262,560/x
  3. Step 3: Cross multiply
    165,194x = 262,560 × 262,560
  4. Step 4: Simplify right side
    165,194x = 68,937,753,600
  5. Step 5: Solve for x
    x = 68,937,753,600/165,194
  6. Step 6: Final answer
    x = 417,313.91

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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.