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Finding the Third Proportional to 216,052 and 338,150

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Solution

The third proportional to 216,052 and 338,150 is: 529,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,052 : 338,150 = 338,150 : x
  2. Step 2: Convert to fraction form
    216,052/338,150 = 338,150/x
  3. Step 3: Cross multiply
    216,052x = 338,150 × 338,150
  4. Step 4: Simplify right side
    216,052x = 114,345,422,500
  5. Step 5: Solve for x
    x = 114,345,422,500/216,052
  6. Step 6: Final answer
    x = 529,249.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.