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Finding the Third Proportional to 118,678 and 183,699

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Solution

The third proportional to 118,678 and 183,699 is: 284,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,678 : 183,699 = 183,699 : x
  2. Step 2: Convert to fraction form
    118,678/183,699 = 183,699/x
  3. Step 3: Cross multiply
    118,678x = 183,699 × 183,699
  4. Step 4: Simplify right side
    118,678x = 33,745,322,601
  5. Step 5: Solve for x
    x = 33,745,322,601/118,678
  6. Step 6: Final answer
    x = 284,343.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.