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Finding the Third Proportional to 118,665 and 183,234

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Solution

The third proportional to 118,665 and 183,234 is: 282,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,665 : 183,234 = 183,234 : x
  2. Step 2: Convert to fraction form
    118,665/183,234 = 183,234/x
  3. Step 3: Cross multiply
    118,665x = 183,234 × 183,234
  4. Step 4: Simplify right side
    118,665x = 33,574,698,756
  5. Step 5: Solve for x
    x = 33,574,698,756/118,665
  6. Step 6: Final answer
    x = 282,936.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.