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Finding the Third Proportional to 174,018 and 379,994

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Solution

The third proportional to 174,018 and 379,994 is: 829,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,018 : 379,994 = 379,994 : x
  2. Step 2: Convert to fraction form
    174,018/379,994 = 379,994/x
  3. Step 3: Cross multiply
    174,018x = 379,994 × 379,994
  4. Step 4: Simplify right side
    174,018x = 144,395,440,036
  5. Step 5: Solve for x
    x = 144,395,440,036/174,018
  6. Step 6: Final answer
    x = 829,773.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.