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Finding the Third Proportional to 233,151.75 and 350,376.75

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Solution

The third proportional to 233,151.75 and 350,376.75 is: 526,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151.75 : 350,376.75 = 350,376.75 : x
  2. Step 2: Convert to fraction form
    233,151.75/350,376.75 = 350,376.75/x
  3. Step 3: Cross multiply
    233,151.75x = 350,376.75 × 350,376.75
  4. Step 4: Simplify right side
    233,151.75x = 122,763,866,940.56
  5. Step 5: Solve for x
    x = 122,763,866,940.56/233,151.75
  6. Step 6: Final answer
    x = 526,540.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.