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Finding the Third Proportional to 250.83 and 519.14

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Solution

The third proportional to 250.83 and 519.14 is: 1,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.83 : 519.14 = 519.14 : x
  2. Step 2: Convert to fraction form
    250.83/519.14 = 519.14/x
  3. Step 3: Cross multiply
    250.83x = 519.14 × 519.14
  4. Step 4: Simplify right side
    250.83x = 269,510.03
  5. Step 5: Solve for x
    x = 269,510.03/250.83
  6. Step 6: Final answer
    x = 1,074.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.