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Finding the Third Proportional to 159,993 and 343,729

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Solution

The third proportional to 159,993 and 343,729 is: 738,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,993 : 343,729 = 343,729 : x
  2. Step 2: Convert to fraction form
    159,993/343,729 = 343,729/x
  3. Step 3: Cross multiply
    159,993x = 343,729 × 343,729
  4. Step 4: Simplify right side
    159,993x = 118,149,625,441
  5. Step 5: Solve for x
    x = 118,149,625,441/159,993
  6. Step 6: Final answer
    x = 738,467.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.