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Finding the Third Proportional to 161,717 and 353,098

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Solution

The third proportional to 161,717 and 353,098 is: 770,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,717 : 353,098 = 353,098 : x
  2. Step 2: Convert to fraction form
    161,717/353,098 = 353,098/x
  3. Step 3: Cross multiply
    161,717x = 353,098 × 353,098
  4. Step 4: Simplify right side
    161,717x = 124,678,197,604
  5. Step 5: Solve for x
    x = 124,678,197,604/161,717
  6. Step 6: Final answer
    x = 770,965.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.