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Finding the Third Proportional to 148,071 and 227,771

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Solution

The third proportional to 148,071 and 227,771 is: 350,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,071 : 227,771 = 227,771 : x
  2. Step 2: Convert to fraction form
    148,071/227,771 = 227,771/x
  3. Step 3: Cross multiply
    148,071x = 227,771 × 227,771
  4. Step 4: Simplify right side
    148,071x = 51,879,628,441
  5. Step 5: Solve for x
    x = 51,879,628,441/148,071
  6. Step 6: Final answer
    x = 350,369.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.