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Finding the Third Proportional to 116,244 and 178,740

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Solution

The third proportional to 116,244 and 178,740 is: 274,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,244 : 178,740 = 178,740 : x
  2. Step 2: Convert to fraction form
    116,244/178,740 = 178,740/x
  3. Step 3: Cross multiply
    116,244x = 178,740 × 178,740
  4. Step 4: Simplify right side
    116,244x = 31,947,987,600
  5. Step 5: Solve for x
    x = 31,947,987,600/116,244
  6. Step 6: Final answer
    x = 274,835.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.