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Finding the Third Proportional to 101,857 and 224,018

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Solution

The third proportional to 101,857 and 224,018 is: 492,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,857 : 224,018 = 224,018 : x
  2. Step 2: Convert to fraction form
    101,857/224,018 = 224,018/x
  3. Step 3: Cross multiply
    101,857x = 224,018 × 224,018
  4. Step 4: Simplify right side
    101,857x = 50,184,064,324
  5. Step 5: Solve for x
    x = 50,184,064,324/101,857
  6. Step 6: Final answer
    x = 492,691.36

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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.