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Finding the Third Proportional to 133,048 and 194,604

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Solution

The third proportional to 133,048 and 194,604 is: 284,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 194,604 = 194,604 : x
  2. Step 2: Convert to fraction form
    133,048/194,604 = 194,604/x
  3. Step 3: Cross multiply
    133,048x = 194,604 × 194,604
  4. Step 4: Simplify right side
    133,048x = 37,870,716,816
  5. Step 5: Solve for x
    x = 37,870,716,816/133,048
  6. Step 6: Final answer
    x = 284,639.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.