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Finding the Third Proportional to 102,253 and 218,722

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Solution

The third proportional to 102,253 and 218,722 is: 467,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253 : 218,722 = 218,722 : x
  2. Step 2: Convert to fraction form
    102,253/218,722 = 218,722/x
  3. Step 3: Cross multiply
    102,253x = 218,722 × 218,722
  4. Step 4: Simplify right side
    102,253x = 47,839,313,284
  5. Step 5: Solve for x
    x = 47,839,313,284/102,253
  6. Step 6: Final answer
    x = 467,852.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.