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Finding the Third Proportional to 149,613.75 and 324,660

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Solution

The third proportional to 149,613.75 and 324,660 is: 704,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,613.75 : 324,660 = 324,660 : x
  2. Step 2: Convert to fraction form
    149,613.75/324,660 = 324,660/x
  3. Step 3: Cross multiply
    149,613.75x = 324,660 × 324,660
  4. Step 4: Simplify right side
    149,613.75x = 105,404,115,600
  5. Step 5: Solve for x
    x = 105,404,115,600/149,613.75
  6. Step 6: Final answer
    x = 704,508.21

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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.