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Finding the Third Proportional to 211,954 and 320,091

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Solution

The third proportional to 211,954 and 320,091 is: 483,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,954 : 320,091 = 320,091 : x
  2. Step 2: Convert to fraction form
    211,954/320,091 = 320,091/x
  3. Step 3: Cross multiply
    211,954x = 320,091 × 320,091
  4. Step 4: Simplify right side
    211,954x = 102,458,248,281
  5. Step 5: Solve for x
    x = 102,458,248,281/211,954
  6. Step 6: Final answer
    x = 483,398.51

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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.