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Finding the Third Proportional to 196,968 and 295,375.50

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Solution

The third proportional to 196,968 and 295,375.50 is: 442,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968 : 295,375.50 = 295,375.50 : x
  2. Step 2: Convert to fraction form
    196,968/295,375.50 = 295,375.50/x
  3. Step 3: Cross multiply
    196,968x = 295,375.50 × 295,375.50
  4. Step 4: Simplify right side
    196,968x = 87,246,686,000.25
  5. Step 5: Solve for x
    x = 87,246,686,000.25/196,968
  6. Step 6: Final answer
    x = 442,948.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.