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Finding the Third Proportional to 233,178.75 and 483,882.75

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Solution

The third proportional to 233,178.75 and 483,882.75 is: 1,004,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178.75 : 483,882.75 = 483,882.75 : x
  2. Step 2: Convert to fraction form
    233,178.75/483,882.75 = 483,882.75/x
  3. Step 3: Cross multiply
    233,178.75x = 483,882.75 × 483,882.75
  4. Step 4: Simplify right side
    233,178.75x = 234,142,515,747.56
  5. Step 5: Solve for x
    x = 234,142,515,747.56/233,178.75
  6. Step 6: Final answer
    x = 1,004,133.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.