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Finding the Third Proportional to 168,988 and 361,965

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Solution

The third proportional to 168,988 and 361,965 is: 775,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,988 : 361,965 = 361,965 : x
  2. Step 2: Convert to fraction form
    168,988/361,965 = 361,965/x
  3. Step 3: Cross multiply
    168,988x = 361,965 × 361,965
  4. Step 4: Simplify right side
    168,988x = 131,018,661,225
  5. Step 5: Solve for x
    x = 131,018,661,225/168,988
  6. Step 6: Final answer
    x = 775,313.40

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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.