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Finding the Third Proportional to 178,224 and 383,232

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Solution

The third proportional to 178,224 and 383,232 is: 824,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224 : 383,232 = 383,232 : x
  2. Step 2: Convert to fraction form
    178,224/383,232 = 383,232/x
  3. Step 3: Cross multiply
    178,224x = 383,232 × 383,232
  4. Step 4: Simplify right side
    178,224x = 146,866,765,824
  5. Step 5: Solve for x
    x = 146,866,765,824/178,224
  6. Step 6: Final answer
    x = 824,057.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.