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Finding the Third Proportional to 238,159 and 324,333

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Solution

The third proportional to 238,159 and 324,333 is: 441,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,159 : 324,333 = 324,333 : x
  2. Step 2: Convert to fraction form
    238,159/324,333 = 324,333/x
  3. Step 3: Cross multiply
    238,159x = 324,333 × 324,333
  4. Step 4: Simplify right side
    238,159x = 105,191,894,889
  5. Step 5: Solve for x
    x = 105,191,894,889/238,159
  6. Step 6: Final answer
    x = 441,687.67

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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.