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Finding the Third Proportional to 94,520 and 193,360

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Solution

The third proportional to 94,520 and 193,360 is: 395,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,520 : 193,360 = 193,360 : x
  2. Step 2: Convert to fraction form
    94,520/193,360 = 193,360/x
  3. Step 3: Cross multiply
    94,520x = 193,360 × 193,360
  4. Step 4: Simplify right side
    94,520x = 37,388,089,600
  5. Step 5: Solve for x
    x = 37,388,089,600/94,520
  6. Step 6: Final answer
    x = 395,557.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.