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Finding the Third Proportional to 251,942.25 and 385,233.75

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Solution

The third proportional to 251,942.25 and 385,233.75 is: 589,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,942.25 : 385,233.75 = 385,233.75 : x
  2. Step 2: Convert to fraction form
    251,942.25/385,233.75 = 385,233.75/x
  3. Step 3: Cross multiply
    251,942.25x = 385,233.75 × 385,233.75
  4. Step 4: Simplify right side
    251,942.25x = 148,405,042,139.06
  5. Step 5: Solve for x
    x = 148,405,042,139.06/251,942.25
  6. Step 6: Final answer
    x = 589,043.89

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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.