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Finding the Third Proportional to 117,438 and 176,193

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Solution

The third proportional to 117,438 and 176,193 is: 264,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,438 : 176,193 = 176,193 : x
  2. Step 2: Convert to fraction form
    117,438/176,193 = 176,193/x
  3. Step 3: Cross multiply
    117,438x = 176,193 × 176,193
  4. Step 4: Simplify right side
    117,438x = 31,043,973,249
  5. Step 5: Solve for x
    x = 31,043,973,249/117,438
  6. Step 6: Final answer
    x = 264,343.51

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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.