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Finding the Third Proportional to 216,558 and 325,782

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Solution

The third proportional to 216,558 and 325,782 is: 490,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,558 : 325,782 = 325,782 : x
  2. Step 2: Convert to fraction form
    216,558/325,782 = 325,782/x
  3. Step 3: Cross multiply
    216,558x = 325,782 × 325,782
  4. Step 4: Simplify right side
    216,558x = 106,133,911,524
  5. Step 5: Solve for x
    x = 106,133,911,524/216,558
  6. Step 6: Final answer
    x = 490,094.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.