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Finding the Third Proportional to 101,907 and 224,550

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Solution

The third proportional to 101,907 and 224,550 is: 494,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,907 : 224,550 = 224,550 : x
  2. Step 2: Convert to fraction form
    101,907/224,550 = 224,550/x
  3. Step 3: Cross multiply
    101,907x = 224,550 × 224,550
  4. Step 4: Simplify right side
    101,907x = 50,422,702,500
  5. Step 5: Solve for x
    x = 50,422,702,500/101,907
  6. Step 6: Final answer
    x = 494,791.35

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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.