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Finding the Third Proportional to 133,088 and 194,678

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Solution

The third proportional to 133,088 and 194,678 is: 284,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 194,678 = 194,678 : x
  2. Step 2: Convert to fraction form
    133,088/194,678 = 194,678/x
  3. Step 3: Cross multiply
    133,088x = 194,678 × 194,678
  4. Step 4: Simplify right side
    133,088x = 37,899,523,684
  5. Step 5: Solve for x
    x = 37,899,523,684/133,088
  6. Step 6: Final answer
    x = 284,770.41

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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.