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Finding the Third Proportional to 196,256 and 302,025

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Solution

The third proportional to 196,256 and 302,025 is: 464,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,256 : 302,025 = 302,025 : x
  2. Step 2: Convert to fraction form
    196,256/302,025 = 302,025/x
  3. Step 3: Cross multiply
    196,256x = 302,025 × 302,025
  4. Step 4: Simplify right side
    196,256x = 91,219,100,625
  5. Step 5: Solve for x
    x = 91,219,100,625/196,256
  6. Step 6: Final answer
    x = 464,796.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.