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Finding the Third Proportional to 100,260 and 213,516

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Solution

The third proportional to 100,260 and 213,516 is: 454,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,260 : 213,516 = 213,516 : x
  2. Step 2: Convert to fraction form
    100,260/213,516 = 213,516/x
  3. Step 3: Cross multiply
    100,260x = 213,516 × 213,516
  4. Step 4: Simplify right side
    100,260x = 45,589,082,256
  5. Step 5: Solve for x
    x = 45,589,082,256/100,260
  6. Step 6: Final answer
    x = 454,708.58

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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.