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Finding the Third Proportional to 179,731.50 and 238,493.25

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Solution

The third proportional to 179,731.50 and 238,493.25 is: 316,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,731.50 : 238,493.25 = 238,493.25 : x
  2. Step 2: Convert to fraction form
    179,731.50/238,493.25 = 238,493.25/x
  3. Step 3: Cross multiply
    179,731.50x = 238,493.25 × 238,493.25
  4. Step 4: Simplify right side
    179,731.50x = 56,879,030,295.56
  5. Step 5: Solve for x
    x = 56,879,030,295.56/179,731.50
  6. Step 6: Final answer
    x = 316,466.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.