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Finding the Third Proportional to 174,982 and 263,141

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Solution

The third proportional to 174,982 and 263,141 is: 395,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,982 : 263,141 = 263,141 : x
  2. Step 2: Convert to fraction form
    174,982/263,141 = 263,141/x
  3. Step 3: Cross multiply
    174,982x = 263,141 × 263,141
  4. Step 4: Simplify right side
    174,982x = 69,243,185,881
  5. Step 5: Solve for x
    x = 69,243,185,881/174,982
  6. Step 6: Final answer
    x = 395,716.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.