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Finding the Third Proportional to 151,969 and 329,696

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Solution

The third proportional to 151,969 and 329,696 is: 715,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,969 : 329,696 = 329,696 : x
  2. Step 2: Convert to fraction form
    151,969/329,696 = 329,696/x
  3. Step 3: Cross multiply
    151,969x = 329,696 × 329,696
  4. Step 4: Simplify right side
    151,969x = 108,699,452,416
  5. Step 5: Solve for x
    x = 108,699,452,416/151,969
  6. Step 6: Final answer
    x = 715,273.85

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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.