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Finding the Third Proportional to 178,104 and 362,787

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Solution

The third proportional to 178,104 and 362,787 is: 738,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,104 : 362,787 = 362,787 : x
  2. Step 2: Convert to fraction form
    178,104/362,787 = 362,787/x
  3. Step 3: Cross multiply
    178,104x = 362,787 × 362,787
  4. Step 4: Simplify right side
    178,104x = 131,614,407,369
  5. Step 5: Solve for x
    x = 131,614,407,369/178,104
  6. Step 6: Final answer
    x = 738,975.02

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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.