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Finding the Third Proportional to 168,948 and 365,780

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Solution

The third proportional to 168,948 and 365,780 is: 791,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,948 : 365,780 = 365,780 : x
  2. Step 2: Convert to fraction form
    168,948/365,780 = 365,780/x
  3. Step 3: Cross multiply
    168,948x = 365,780 × 365,780
  4. Step 4: Simplify right side
    168,948x = 133,795,008,400
  5. Step 5: Solve for x
    x = 133,795,008,400/168,948
  6. Step 6: Final answer
    x = 791,930.11

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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.