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Finding the Third Proportional to 196,956 and 295,364

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Solution

The third proportional to 196,956 and 295,364 is: 442,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,956 : 295,364 = 295,364 : x
  2. Step 2: Convert to fraction form
    196,956/295,364 = 295,364/x
  3. Step 3: Cross multiply
    196,956x = 295,364 × 295,364
  4. Step 4: Simplify right side
    196,956x = 87,239,892,496
  5. Step 5: Solve for x
    x = 87,239,892,496/196,956
  6. Step 6: Final answer
    x = 442,941.02

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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.