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Finding the Third Proportional to 161,890 and 347,566

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Solution

The third proportional to 161,890 and 347,566 is: 746,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,890 : 347,566 = 347,566 : x
  2. Step 2: Convert to fraction form
    161,890/347,566 = 347,566/x
  3. Step 3: Cross multiply
    161,890x = 347,566 × 347,566
  4. Step 4: Simplify right side
    161,890x = 120,802,124,356
  5. Step 5: Solve for x
    x = 120,802,124,356/161,890
  6. Step 6: Final answer
    x = 746,198.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.