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Finding the Third Proportional to 194,197.50 and 262,375.88

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Solution

The third proportional to 194,197.50 and 262,375.88 is: 354,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,197.50 : 262,375.88 = 262,375.88 : x
  2. Step 2: Convert to fraction form
    194,197.50/262,375.88 = 262,375.88/x
  3. Step 3: Cross multiply
    194,197.50x = 262,375.88 × 262,375.88
  4. Step 4: Simplify right side
    194,197.50x = 68,841,099,782.02
  5. Step 5: Solve for x
    x = 68,841,099,782.02/194,197.50
  6. Step 6: Final answer
    x = 354,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.