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Finding the Third Proportional to 133,088 and 199,176

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Solution

The third proportional to 133,088 and 199,176 is: 298,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 199,176 = 199,176 : x
  2. Step 2: Convert to fraction form
    133,088/199,176 = 199,176/x
  3. Step 3: Cross multiply
    133,088x = 199,176 × 199,176
  4. Step 4: Simplify right side
    133,088x = 39,671,078,976
  5. Step 5: Solve for x
    x = 39,671,078,976/133,088
  6. Step 6: Final answer
    x = 298,081.56

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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.