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Finding the Third Proportional to 161,737 and 350,965

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Solution

The third proportional to 161,737 and 350,965 is: 761,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,737 : 350,965 = 350,965 : x
  2. Step 2: Convert to fraction form
    161,737/350,965 = 350,965/x
  3. Step 3: Cross multiply
    161,737x = 350,965 × 350,965
  4. Step 4: Simplify right side
    161,737x = 123,176,431,225
  5. Step 5: Solve for x
    x = 123,176,431,225/161,737
  6. Step 6: Final answer
    x = 761,584.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.