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Finding the Third Proportional to 148,866 and 194,695

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Solution

The third proportional to 148,866 and 194,695 is: 254,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,866 : 194,695 = 194,695 : x
  2. Step 2: Convert to fraction form
    148,866/194,695 = 194,695/x
  3. Step 3: Cross multiply
    148,866x = 194,695 × 194,695
  4. Step 4: Simplify right side
    148,866x = 37,906,143,025
  5. Step 5: Solve for x
    x = 37,906,143,025/148,866
  6. Step 6: Final answer
    x = 254,632.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.