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Finding the Third Proportional to 159,572.53 and 345,739.64

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Solution

The third proportional to 159,572.53 and 345,739.64 is: 749,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,572.53 : 345,739.64 = 345,739.64 : x
  2. Step 2: Convert to fraction form
    159,572.53/345,739.64 = 345,739.64/x
  3. Step 3: Cross multiply
    159,572.53x = 345,739.64 × 345,739.64
  4. Step 4: Simplify right side
    159,572.53x = 119,535,899,099.50
  5. Step 5: Solve for x
    x = 119,535,899,099.50/159,572.53
  6. Step 6: Final answer
    x = 749,100.73

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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.