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Finding the Third Proportional to 211,927 and 320,051

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Solution

The third proportional to 211,927 and 320,051 is: 483,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,927 : 320,051 = 320,051 : x
  2. Step 2: Convert to fraction form
    211,927/320,051 = 320,051/x
  3. Step 3: Cross multiply
    211,927x = 320,051 × 320,051
  4. Step 4: Simplify right side
    211,927x = 102,432,642,601
  5. Step 5: Solve for x
    x = 102,432,642,601/211,927
  6. Step 6: Final answer
    x = 483,339.28

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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.