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Finding the Third Proportional to 178,064 and 362,724

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Solution

The third proportional to 178,064 and 362,724 is: 738,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,064 : 362,724 = 362,724 : x
  2. Step 2: Convert to fraction form
    178,064/362,724 = 362,724/x
  3. Step 3: Cross multiply
    178,064x = 362,724 × 362,724
  4. Step 4: Simplify right side
    178,064x = 131,568,700,176
  5. Step 5: Solve for x
    x = 131,568,700,176/178,064
  6. Step 6: Final answer
    x = 738,884.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.