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Finding the Third Proportional to 116,268 and 250,278

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Solution

The third proportional to 116,268 and 250,278 is: 538,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,268 : 250,278 = 250,278 : x
  2. Step 2: Convert to fraction form
    116,268/250,278 = 250,278/x
  3. Step 3: Cross multiply
    116,268x = 250,278 × 250,278
  4. Step 4: Simplify right side
    116,268x = 62,639,077,284
  5. Step 5: Solve for x
    x = 62,639,077,284/116,268
  6. Step 6: Final answer
    x = 538,747.35

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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.