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Finding the Third Proportional to 101,890 and 224,516

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Solution

The third proportional to 101,890 and 224,516 is: 494,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,890 : 224,516 = 224,516 : x
  2. Step 2: Convert to fraction form
    101,890/224,516 = 224,516/x
  3. Step 3: Cross multiply
    101,890x = 224,516 × 224,516
  4. Step 4: Simplify right side
    101,890x = 50,407,434,256
  5. Step 5: Solve for x
    x = 50,407,434,256/101,890
  6. Step 6: Final answer
    x = 494,724.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.