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Finding the Third Proportional to 233,205.75 and 356,568.75

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Solution

The third proportional to 233,205.75 and 356,568.75 is: 545,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,205.75 : 356,568.75 = 356,568.75 : x
  2. Step 2: Convert to fraction form
    233,205.75/356,568.75 = 356,568.75/x
  3. Step 3: Cross multiply
    233,205.75x = 356,568.75 × 356,568.75
  4. Step 4: Simplify right side
    233,205.75x = 127,141,273,476.56
  5. Step 5: Solve for x
    x = 127,141,273,476.56/233,205.75
  6. Step 6: Final answer
    x = 545,189.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.