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Finding the Third Proportional to 168,095 and 359,975

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Solution

The third proportional to 168,095 and 359,975 is: 770,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,095 : 359,975 = 359,975 : x
  2. Step 2: Convert to fraction form
    168,095/359,975 = 359,975/x
  3. Step 3: Cross multiply
    168,095x = 359,975 × 359,975
  4. Step 4: Simplify right side
    168,095x = 129,582,000,625
  5. Step 5: Solve for x
    x = 129,582,000,625/168,095
  6. Step 6: Final answer
    x = 770,885.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.