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Finding the Third Proportional to 233,183.25 and 342,132.75

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Solution

The third proportional to 233,183.25 and 342,132.75 is: 501,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,183.25 : 342,132.75 = 342,132.75 : x
  2. Step 2: Convert to fraction form
    233,183.25/342,132.75 = 342,132.75/x
  3. Step 3: Cross multiply
    233,183.25x = 342,132.75 × 342,132.75
  4. Step 4: Simplify right side
    233,183.25x = 117,054,818,622.56
  5. Step 5: Solve for x
    x = 117,054,818,622.56/233,183.25
  6. Step 6: Final answer
    x = 501,986.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.