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Finding the Third Proportional to 233,235 and 481,191.75

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Solution

The third proportional to 233,235 and 481,191.75 is: 992,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,235 : 481,191.75 = 481,191.75 : x
  2. Step 2: Convert to fraction form
    233,235/481,191.75 = 481,191.75/x
  3. Step 3: Cross multiply
    233,235x = 481,191.75 × 481,191.75
  4. Step 4: Simplify right side
    233,235x = 231,545,500,268.06
  5. Step 5: Solve for x
    x = 231,545,500,268.06/233,235
  6. Step 6: Final answer
    x = 992,756.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.