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Finding the Third Proportional to 178,119 and 363,491

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Solution

The third proportional to 178,119 and 363,491 is: 741,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,119 : 363,491 = 363,491 : x
  2. Step 2: Convert to fraction form
    178,119/363,491 = 363,491/x
  3. Step 3: Cross multiply
    178,119x = 363,491 × 363,491
  4. Step 4: Simplify right side
    178,119x = 132,125,707,081
  5. Step 5: Solve for x
    x = 132,125,707,081/178,119
  6. Step 6: Final answer
    x = 741,783.34

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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.