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Finding the Third Proportional to 159,189 and 347,907

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Solution

The third proportional to 159,189 and 347,907 is: 760,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,189 : 347,907 = 347,907 : x
  2. Step 2: Convert to fraction form
    159,189/347,907 = 347,907/x
  3. Step 3: Cross multiply
    159,189x = 347,907 × 347,907
  4. Step 4: Simplify right side
    159,189x = 121,039,280,649
  5. Step 5: Solve for x
    x = 121,039,280,649/159,189
  6. Step 6: Final answer
    x = 760,349.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.