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Finding the Third Proportional to 109,318 and 238,885

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Solution

The third proportional to 109,318 and 238,885 is: 522,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,318 : 238,885 = 238,885 : x
  2. Step 2: Convert to fraction form
    109,318/238,885 = 238,885/x
  3. Step 3: Cross multiply
    109,318x = 238,885 × 238,885
  4. Step 4: Simplify right side
    109,318x = 57,066,043,225
  5. Step 5: Solve for x
    x = 57,066,043,225/109,318
  6. Step 6: Final answer
    x = 522,018.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.