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Finding the Third Proportional to 215,558 and 326,321

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Solution

The third proportional to 215,558 and 326,321 is: 493,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,558 : 326,321 = 326,321 : x
  2. Step 2: Convert to fraction form
    215,558/326,321 = 326,321/x
  3. Step 3: Cross multiply
    215,558x = 326,321 × 326,321
  4. Step 4: Simplify right side
    215,558x = 106,485,395,041
  5. Step 5: Solve for x
    x = 106,485,395,041/215,558
  6. Step 6: Final answer
    x = 493,998.81

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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.