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Finding the Third Proportional to 115,268 and 248,314

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Solution

The third proportional to 115,268 and 248,314 is: 534,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,268 : 248,314 = 248,314 : x
  2. Step 2: Convert to fraction form
    115,268/248,314 = 248,314/x
  3. Step 3: Cross multiply
    115,268x = 248,314 × 248,314
  4. Step 4: Simplify right side
    115,268x = 61,659,842,596
  5. Step 5: Solve for x
    x = 61,659,842,596/115,268
  6. Step 6: Final answer
    x = 534,925.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.