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Finding the Third Proportional to 196,466 and 295,848

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Solution

The third proportional to 196,466 and 295,848 is: 445,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,466 : 295,848 = 295,848 : x
  2. Step 2: Convert to fraction form
    196,466/295,848 = 295,848/x
  3. Step 3: Cross multiply
    196,466x = 295,848 × 295,848
  4. Step 4: Simplify right side
    196,466x = 87,526,039,104
  5. Step 5: Solve for x
    x = 87,526,039,104/196,466
  6. Step 6: Final answer
    x = 445,502.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.