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Finding the Third Proportional to 238,120 and 324,274.50

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Solution

The third proportional to 238,120 and 324,274.50 is: 441,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,120 : 324,274.50 = 324,274.50 : x
  2. Step 2: Convert to fraction form
    238,120/324,274.50 = 324,274.50/x
  3. Step 3: Cross multiply
    238,120x = 324,274.50 × 324,274.50
  4. Step 4: Simplify right side
    238,120x = 105,153,951,350.25
  5. Step 5: Solve for x
    x = 105,153,951,350.25/238,120
  6. Step 6: Final answer
    x = 441,600.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.