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Finding the Third Proportional to 196,664 and 295,188

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Solution

The third proportional to 196,664 and 295,188 is: 443,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,664 : 295,188 = 295,188 : x
  2. Step 2: Convert to fraction form
    196,664/295,188 = 295,188/x
  3. Step 3: Cross multiply
    196,664x = 295,188 × 295,188
  4. Step 4: Simplify right side
    196,664x = 87,135,955,344
  5. Step 5: Solve for x
    x = 87,135,955,344/196,664
  6. Step 6: Final answer
    x = 443,070.19

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