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Finding the Third Proportional to 168,947 and 365,778

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Solution

The third proportional to 168,947 and 365,778 is: 791,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,947 : 365,778 = 365,778 : x
  2. Step 2: Convert to fraction form
    168,947/365,778 = 365,778/x
  3. Step 3: Cross multiply
    168,947x = 365,778 × 365,778
  4. Step 4: Simplify right side
    168,947x = 133,793,545,284
  5. Step 5: Solve for x
    x = 133,793,545,284/168,947
  6. Step 6: Final answer
    x = 791,926.14

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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.