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Finding the Third Proportional to 149,310.56 and 324,862.31

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Solution

The third proportional to 149,310.56 and 324,862.31 is: 706,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310.56 : 324,862.31 = 324,862.31 : x
  2. Step 2: Convert to fraction form
    149,310.56/324,862.31 = 324,862.31/x
  3. Step 3: Cross multiply
    149,310.56x = 324,862.31 × 324,862.31
  4. Step 4: Simplify right side
    149,310.56x = 105,535,522,082.85
  5. Step 5: Solve for x
    x = 105,535,522,082.85/149,310.56
  6. Step 6: Final answer
    x = 706,818.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.