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Finding the Third Proportional to 183,979.50 and 269,910

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Solution

The third proportional to 183,979.50 and 269,910 is: 395,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,979.50 : 269,910 = 269,910 : x
  2. Step 2: Convert to fraction form
    183,979.50/269,910 = 269,910/x
  3. Step 3: Cross multiply
    183,979.50x = 269,910 × 269,910
  4. Step 4: Simplify right side
    183,979.50x = 72,851,408,100
  5. Step 5: Solve for x
    x = 72,851,408,100/183,979.50
  6. Step 6: Final answer
    x = 395,975.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.