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Finding the Third Proportional to 161,384 and 350,800

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Solution

The third proportional to 161,384 and 350,800 is: 762,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,384 : 350,800 = 350,800 : x
  2. Step 2: Convert to fraction form
    161,384/350,800 = 350,800/x
  3. Step 3: Cross multiply
    161,384x = 350,800 × 350,800
  4. Step 4: Simplify right side
    161,384x = 123,060,640,000
  5. Step 5: Solve for x
    x = 123,060,640,000/161,384
  6. Step 6: Final answer
    x = 762,533.09

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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.