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Finding the Third Proportional to 196,026 and 293,256

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Solution

The third proportional to 196,026 and 293,256 is: 438,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,026 : 293,256 = 293,256 : x
  2. Step 2: Convert to fraction form
    196,026/293,256 = 293,256/x
  3. Step 3: Cross multiply
    196,026x = 293,256 × 293,256
  4. Step 4: Simplify right side
    196,026x = 85,999,081,536
  5. Step 5: Solve for x
    x = 85,999,081,536/196,026
  6. Step 6: Final answer
    x = 438,712.63

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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.