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Finding the Third Proportional to 251,940.75 and 385,231.50

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Solution

The third proportional to 251,940.75 and 385,231.50 is: 589,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,940.75 : 385,231.50 = 385,231.50 : x
  2. Step 2: Convert to fraction form
    251,940.75/385,231.50 = 385,231.50/x
  3. Step 3: Cross multiply
    251,940.75x = 385,231.50 × 385,231.50
  4. Step 4: Simplify right side
    251,940.75x = 148,403,308,592.25
  5. Step 5: Solve for x
    x = 148,403,308,592.25/251,940.75
  6. Step 6: Final answer
    x = 589,040.51

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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.