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Finding the Third Proportional to 160,467.75 and 238,236.75

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Solution

The third proportional to 160,467.75 and 238,236.75 is: 353,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,467.75 : 238,236.75 = 238,236.75 : x
  2. Step 2: Convert to fraction form
    160,467.75/238,236.75 = 238,236.75/x
  3. Step 3: Cross multiply
    160,467.75x = 238,236.75 × 238,236.75
  4. Step 4: Simplify right side
    160,467.75x = 56,756,749,050.56
  5. Step 5: Solve for x
    x = 56,756,749,050.56/160,467.75
  6. Step 6: Final answer
    x = 353,695.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.