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Finding the Third Proportional to 244,148 and 365,982

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Solution

The third proportional to 244,148 and 365,982 is: 548,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,148 : 365,982 = 365,982 : x
  2. Step 2: Convert to fraction form
    244,148/365,982 = 365,982/x
  3. Step 3: Cross multiply
    244,148x = 365,982 × 365,982
  4. Step 4: Simplify right side
    244,148x = 133,942,824,324
  5. Step 5: Solve for x
    x = 133,942,824,324/244,148
  6. Step 6: Final answer
    x = 548,613.24

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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.