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Finding the Third Proportional to 174,760 and 378,084

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Solution

The third proportional to 174,760 and 378,084 is: 817,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,760 : 378,084 = 378,084 : x
  2. Step 2: Convert to fraction form
    174,760/378,084 = 378,084/x
  3. Step 3: Cross multiply
    174,760x = 378,084 × 378,084
  4. Step 4: Simplify right side
    174,760x = 142,947,511,056
  5. Step 5: Solve for x
    x = 142,947,511,056/174,760
  6. Step 6: Final answer
    x = 817,964.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.