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Finding the Third Proportional to 233,944.50 and 333,420.75

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Solution

The third proportional to 233,944.50 and 333,420.75 is: 475,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,944.50 : 333,420.75 = 333,420.75 : x
  2. Step 2: Convert to fraction form
    233,944.50/333,420.75 = 333,420.75/x
  3. Step 3: Cross multiply
    233,944.50x = 333,420.75 × 333,420.75
  4. Step 4: Simplify right side
    233,944.50x = 111,169,396,530.56
  5. Step 5: Solve for x
    x = 111,169,396,530.56/233,944.50
  6. Step 6: Final answer
    x = 475,195.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.