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Finding the Third Proportional to 116,366 and 248,284

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Solution

The third proportional to 116,366 and 248,284 is: 529,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,366 : 248,284 = 248,284 : x
  2. Step 2: Convert to fraction form
    116,366/248,284 = 248,284/x
  3. Step 3: Cross multiply
    116,366x = 248,284 × 248,284
  4. Step 4: Simplify right side
    116,366x = 61,644,944,656
  5. Step 5: Solve for x
    x = 61,644,944,656/116,366
  6. Step 6: Final answer
    x = 529,750.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.