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Finding the Third Proportional to 161,305.50 and 350,907

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Solution

The third proportional to 161,305.50 and 350,907 is: 763,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,305.50 : 350,907 = 350,907 : x
  2. Step 2: Convert to fraction form
    161,305.50/350,907 = 350,907/x
  3. Step 3: Cross multiply
    161,305.50x = 350,907 × 350,907
  4. Step 4: Simplify right side
    161,305.50x = 123,135,722,649
  5. Step 5: Solve for x
    x = 123,135,722,649/161,305.50
  6. Step 6: Final answer
    x = 763,369.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.