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Finding the Third Proportional to 149,713 and 324,855

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Solution

The third proportional to 149,713 and 324,855 is: 704,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713 : 324,855 = 324,855 : x
  2. Step 2: Convert to fraction form
    149,713/324,855 = 324,855/x
  3. Step 3: Cross multiply
    149,713x = 324,855 × 324,855
  4. Step 4: Simplify right side
    149,713x = 105,530,771,025
  5. Step 5: Solve for x
    x = 105,530,771,025/149,713
  6. Step 6: Final answer
    x = 704,887.16

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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.