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Finding the Third Proportional to 117,444 and 176,734

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Solution

The third proportional to 117,444 and 176,734 is: 265,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,444 : 176,734 = 176,734 : x
  2. Step 2: Convert to fraction form
    117,444/176,734 = 176,734/x
  3. Step 3: Cross multiply
    117,444x = 176,734 × 176,734
  4. Step 4: Simplify right side
    117,444x = 31,234,906,756
  5. Step 5: Solve for x
    x = 31,234,906,756/117,444
  6. Step 6: Final answer
    x = 265,955.75

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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.