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Finding the Third Proportional to 218,489 and 295,197

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Solution

The third proportional to 218,489 and 295,197 is: 398,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,489 : 295,197 = 295,197 : x
  2. Step 2: Convert to fraction form
    218,489/295,197 = 295,197/x
  3. Step 3: Cross multiply
    218,489x = 295,197 × 295,197
  4. Step 4: Simplify right side
    218,489x = 87,141,268,809
  5. Step 5: Solve for x
    x = 87,141,268,809/218,489
  6. Step 6: Final answer
    x = 398,835.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.