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Finding the Third Proportional to 149,660 and 324,749

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Solution

The third proportional to 149,660 and 324,749 is: 704,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,660 : 324,749 = 324,749 : x
  2. Step 2: Convert to fraction form
    149,660/324,749 = 324,749/x
  3. Step 3: Cross multiply
    149,660x = 324,749 × 324,749
  4. Step 4: Simplify right side
    149,660x = 105,461,913,001
  5. Step 5: Solve for x
    x = 105,461,913,001/149,660
  6. Step 6: Final answer
    x = 704,676.69

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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.