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Finding the Third Proportional to 133,904 and 264,448

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Solution

The third proportional to 133,904 and 264,448 is: 522,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904 : 264,448 = 264,448 : x
  2. Step 2: Convert to fraction form
    133,904/264,448 = 264,448/x
  3. Step 3: Cross multiply
    133,904x = 264,448 × 264,448
  4. Step 4: Simplify right side
    133,904x = 69,932,744,704
  5. Step 5: Solve for x
    x = 69,932,744,704/133,904
  6. Step 6: Final answer
    x = 522,260.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.