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Finding the Third Proportional to 118,668 and 183,684

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Solution

The third proportional to 118,668 and 183,684 is: 284,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,668 : 183,684 = 183,684 : x
  2. Step 2: Convert to fraction form
    118,668/183,684 = 183,684/x
  3. Step 3: Cross multiply
    118,668x = 183,684 × 183,684
  4. Step 4: Simplify right side
    118,668x = 33,739,811,856
  5. Step 5: Solve for x
    x = 33,739,811,856/118,668
  6. Step 6: Final answer
    x = 284,321.06

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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.