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Finding the Third Proportional to 113,774 and 248,284

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Solution

The third proportional to 113,774 and 248,284 is: 541,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,774 : 248,284 = 248,284 : x
  2. Step 2: Convert to fraction form
    113,774/248,284 = 248,284/x
  3. Step 3: Cross multiply
    113,774x = 248,284 × 248,284
  4. Step 4: Simplify right side
    113,774x = 61,644,944,656
  5. Step 5: Solve for x
    x = 61,644,944,656/113,774
  6. Step 6: Final answer
    x = 541,819.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.