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Finding the Third Proportional to 160,668 and 348,993

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Solution

The third proportional to 160,668 and 348,993 is: 758,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,668 : 348,993 = 348,993 : x
  2. Step 2: Convert to fraction form
    160,668/348,993 = 348,993/x
  3. Step 3: Cross multiply
    160,668x = 348,993 × 348,993
  4. Step 4: Simplify right side
    160,668x = 121,796,114,049
  5. Step 5: Solve for x
    x = 121,796,114,049/160,668
  6. Step 6: Final answer
    x = 758,060.81

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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.