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Finding the Third Proportional to 196,969 and 255,001

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Solution

The third proportional to 196,969 and 255,001 is: 330,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,969 : 255,001 = 255,001 : x
  2. Step 2: Convert to fraction form
    196,969/255,001 = 255,001/x
  3. Step 3: Cross multiply
    196,969x = 255,001 × 255,001
  4. Step 4: Simplify right side
    196,969x = 65,025,510,001
  5. Step 5: Solve for x
    x = 65,025,510,001/196,969
  6. Step 6: Final answer
    x = 330,130.68

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.