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Finding the Third Proportional to 113,400 and 177,498

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Solution

The third proportional to 113,400 and 177,498 is: 277,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,400 : 177,498 = 177,498 : x
  2. Step 2: Convert to fraction form
    113,400/177,498 = 177,498/x
  3. Step 3: Cross multiply
    113,400x = 177,498 × 177,498
  4. Step 4: Simplify right side
    113,400x = 31,505,540,004
  5. Step 5: Solve for x
    x = 31,505,540,004/113,400
  6. Step 6: Final answer
    x = 277,826.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.