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Finding the Third Proportional to 168,430 and 365,444

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Solution

The third proportional to 168,430 and 365,444 is: 792,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,430 : 365,444 = 365,444 : x
  2. Step 2: Convert to fraction form
    168,430/365,444 = 365,444/x
  3. Step 3: Cross multiply
    168,430x = 365,444 × 365,444
  4. Step 4: Simplify right side
    168,430x = 133,549,317,136
  5. Step 5: Solve for x
    x = 133,549,317,136/168,430
  6. Step 6: Final answer
    x = 792,906.95

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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.