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Finding the Third Proportional to 102,318 and 241,194

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Solution

The third proportional to 102,318 and 241,194 is: 568,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,318 : 241,194 = 241,194 : x
  2. Step 2: Convert to fraction form
    102,318/241,194 = 241,194/x
  3. Step 3: Cross multiply
    102,318x = 241,194 × 241,194
  4. Step 4: Simplify right side
    102,318x = 58,174,545,636
  5. Step 5: Solve for x
    x = 58,174,545,636/102,318
  6. Step 6: Final answer
    x = 568,566.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.