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Finding the Third Proportional to 161,739 and 350,966

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Solution

The third proportional to 161,739 and 350,966 is: 761,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,739 : 350,966 = 350,966 : x
  2. Step 2: Convert to fraction form
    161,739/350,966 = 350,966/x
  3. Step 3: Cross multiply
    161,739x = 350,966 × 350,966
  4. Step 4: Simplify right side
    161,739x = 123,177,133,156
  5. Step 5: Solve for x
    x = 123,177,133,156/161,739
  6. Step 6: Final answer
    x = 761,579.66

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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.