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Finding the Third Proportional to 179,914 and 262,958

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Solution

The third proportional to 179,914 and 262,958 is: 384,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,914 : 262,958 = 262,958 : x
  2. Step 2: Convert to fraction form
    179,914/262,958 = 262,958/x
  3. Step 3: Cross multiply
    179,914x = 262,958 × 262,958
  4. Step 4: Simplify right side
    179,914x = 69,146,909,764
  5. Step 5: Solve for x
    x = 69,146,909,764/179,914
  6. Step 6: Final answer
    x = 384,333.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.