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Finding the Third Proportional to 149,424 and 323,736

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Solution

The third proportional to 149,424 and 323,736 is: 701,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,424 : 323,736 = 323,736 : x
  2. Step 2: Convert to fraction form
    149,424/323,736 = 323,736/x
  3. Step 3: Cross multiply
    149,424x = 323,736 × 323,736
  4. Step 4: Simplify right side
    149,424x = 104,804,997,696
  5. Step 5: Solve for x
    x = 104,804,997,696/149,424
  6. Step 6: Final answer
    x = 701,393.34

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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.