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Finding the Third Proportional to 110,328 and 174,780

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Solution

The third proportional to 110,328 and 174,780 is: 276,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,328 : 174,780 = 174,780 : x
  2. Step 2: Convert to fraction form
    110,328/174,780 = 174,780/x
  3. Step 3: Cross multiply
    110,328x = 174,780 × 174,780
  4. Step 4: Simplify right side
    110,328x = 30,548,048,400
  5. Step 5: Solve for x
    x = 30,548,048,400/110,328
  6. Step 6: Final answer
    x = 276,883.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.