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Finding the Third Proportional to 178,709.50 and 262,232

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Solution

The third proportional to 178,709.50 and 262,232 is: 384,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,709.50 : 262,232 = 262,232 : x
  2. Step 2: Convert to fraction form
    178,709.50/262,232 = 262,232/x
  3. Step 3: Cross multiply
    178,709.50x = 262,232 × 262,232
  4. Step 4: Simplify right side
    178,709.50x = 68,765,621,824
  5. Step 5: Solve for x
    x = 68,765,621,824/178,709.50
  6. Step 6: Final answer
    x = 384,789.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.