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Finding the Third Proportional to 240,845 and 367,556

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Solution

The third proportional to 240,845 and 367,556 is: 560,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,845 : 367,556 = 367,556 : x
  2. Step 2: Convert to fraction form
    240,845/367,556 = 367,556/x
  3. Step 3: Cross multiply
    240,845x = 367,556 × 367,556
  4. Step 4: Simplify right side
    240,845x = 135,097,413,136
  5. Step 5: Solve for x
    x = 135,097,413,136/240,845
  6. Step 6: Final answer
    x = 560,930.94

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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.