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Finding the Third Proportional to 118,674 and 183,693

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Solution

The third proportional to 118,674 and 183,693 is: 284,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,674 : 183,693 = 183,693 : x
  2. Step 2: Convert to fraction form
    118,674/183,693 = 183,693/x
  3. Step 3: Cross multiply
    118,674x = 183,693 × 183,693
  4. Step 4: Simplify right side
    118,674x = 33,743,118,249
  5. Step 5: Solve for x
    x = 33,743,118,249/118,674
  6. Step 6: Final answer
    x = 284,334.55

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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.