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Finding the Third Proportional to 116,519 and 248,290

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Solution

The third proportional to 116,519 and 248,290 is: 529,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,519 : 248,290 = 248,290 : x
  2. Step 2: Convert to fraction form
    116,519/248,290 = 248,290/x
  3. Step 3: Cross multiply
    116,519x = 248,290 × 248,290
  4. Step 4: Simplify right side
    116,519x = 61,647,924,100
  5. Step 5: Solve for x
    x = 61,647,924,100/116,519
  6. Step 6: Final answer
    x = 529,080.44

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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.