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Finding the Third Proportional to 149,609.53 and 324,650.53

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Solution

The third proportional to 149,609.53 and 324,650.53 is: 704,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,609.53 : 324,650.53 = 324,650.53 : x
  2. Step 2: Convert to fraction form
    149,609.53/324,650.53 = 324,650.53/x
  3. Step 3: Cross multiply
    149,609.53x = 324,650.53 × 324,650.53
  4. Step 4: Simplify right side
    149,609.53x = 105,397,967,440.91
  5. Step 5: Solve for x
    x = 105,397,967,440.91/149,609.53
  6. Step 6: Final answer
    x = 704,486.98

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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.