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Finding the Third Proportional to 125,493 and 263,904

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Solution

The third proportional to 125,493 and 263,904 is: 554,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,493 : 263,904 = 263,904 : x
  2. Step 2: Convert to fraction form
    125,493/263,904 = 263,904/x
  3. Step 3: Cross multiply
    125,493x = 263,904 × 263,904
  4. Step 4: Simplify right side
    125,493x = 69,645,321,216
  5. Step 5: Solve for x
    x = 69,645,321,216/125,493
  6. Step 6: Final answer
    x = 554,973.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.