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Finding the Third Proportional to 196,444 and 290,983

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Solution

The third proportional to 196,444 and 290,983 is: 431,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,444 : 290,983 = 290,983 : x
  2. Step 2: Convert to fraction form
    196,444/290,983 = 290,983/x
  3. Step 3: Cross multiply
    196,444x = 290,983 × 290,983
  4. Step 4: Simplify right side
    196,444x = 84,671,106,289
  5. Step 5: Solve for x
    x = 84,671,106,289/196,444
  6. Step 6: Final answer
    x = 431,019.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.