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Finding the Third Proportional to 174,670 and 376,098

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Solution

The third proportional to 174,670 and 376,098 is: 809,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,670 : 376,098 = 376,098 : x
  2. Step 2: Convert to fraction form
    174,670/376,098 = 376,098/x
  3. Step 3: Cross multiply
    174,670x = 376,098 × 376,098
  4. Step 4: Simplify right side
    174,670x = 141,449,705,604
  5. Step 5: Solve for x
    x = 141,449,705,604/174,670
  6. Step 6: Final answer
    x = 809,811.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.