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Finding the Third Proportional to 196,878 and 295,254

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Solution

The third proportional to 196,878 and 295,254 is: 442,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,878 : 295,254 = 295,254 : x
  2. Step 2: Convert to fraction form
    196,878/295,254 = 295,254/x
  3. Step 3: Cross multiply
    196,878x = 295,254 × 295,254
  4. Step 4: Simplify right side
    196,878x = 87,174,924,516
  5. Step 5: Solve for x
    x = 87,174,924,516/196,878
  6. Step 6: Final answer
    x = 442,786.52

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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.