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Finding the Third Proportional to 178,144 and 284,064

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Solution

The third proportional to 178,144 and 284,064 is: 452,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,144 : 284,064 = 284,064 : x
  2. Step 2: Convert to fraction form
    178,144/284,064 = 284,064/x
  3. Step 3: Cross multiply
    178,144x = 284,064 × 284,064
  4. Step 4: Simplify right side
    178,144x = 80,692,356,096
  5. Step 5: Solve for x
    x = 80,692,356,096/178,144
  6. Step 6: Final answer
    x = 452,961.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.