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Finding the Third Proportional to 101,125 and 224,698

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Solution

The third proportional to 101,125 and 224,698 is: 499,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,125 : 224,698 = 224,698 : x
  2. Step 2: Convert to fraction form
    101,125/224,698 = 224,698/x
  3. Step 3: Cross multiply
    101,125x = 224,698 × 224,698
  4. Step 4: Simplify right side
    101,125x = 50,489,191,204
  5. Step 5: Solve for x
    x = 50,489,191,204/101,125
  6. Step 6: Final answer
    x = 499,275.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.