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Finding the Third Proportional to 151,684 and 329,843

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Solution

The third proportional to 151,684 and 329,843 is: 717,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,684 : 329,843 = 329,843 : x
  2. Step 2: Convert to fraction form
    151,684/329,843 = 329,843/x
  3. Step 3: Cross multiply
    151,684x = 329,843 × 329,843
  4. Step 4: Simplify right side
    151,684x = 108,796,404,649
  5. Step 5: Solve for x
    x = 108,796,404,649/151,684
  6. Step 6: Final answer
    x = 717,256.96

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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.