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Finding the Third Proportional to 161,810 and 350,116

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Solution

The third proportional to 161,810 and 350,116 is: 757,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,810 : 350,116 = 350,116 : x
  2. Step 2: Convert to fraction form
    161,810/350,116 = 350,116/x
  3. Step 3: Cross multiply
    161,810x = 350,116 × 350,116
  4. Step 4: Simplify right side
    161,810x = 122,581,213,456
  5. Step 5: Solve for x
    x = 122,581,213,456/161,810
  6. Step 6: Final answer
    x = 757,562.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.