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Finding the Third Proportional to 238,635 and 334,489.50

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Solution

The third proportional to 238,635 and 334,489.50 is: 468,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,635 : 334,489.50 = 334,489.50 : x
  2. Step 2: Convert to fraction form
    238,635/334,489.50 = 334,489.50/x
  3. Step 3: Cross multiply
    238,635x = 334,489.50 × 334,489.50
  4. Step 4: Simplify right side
    238,635x = 111,883,225,610.25
  5. Step 5: Solve for x
    x = 111,883,225,610.25/238,635
  6. Step 6: Final answer
    x = 468,846.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.