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Finding the Third Proportional to 149,422 and 323,732

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Solution

The third proportional to 149,422 and 323,732 is: 701,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,422 : 323,732 = 323,732 : x
  2. Step 2: Convert to fraction form
    149,422/323,732 = 323,732/x
  3. Step 3: Cross multiply
    149,422x = 323,732 × 323,732
  4. Step 4: Simplify right side
    149,422x = 104,802,407,824
  5. Step 5: Solve for x
    x = 104,802,407,824/149,422
  6. Step 6: Final answer
    x = 701,385.39

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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.