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Finding the Third Proportional to 110,828.25 and 175,520.75

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Solution

The third proportional to 110,828.25 and 175,520.75 is: 277,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,828.25 : 175,520.75 = 175,520.75 : x
  2. Step 2: Convert to fraction form
    110,828.25/175,520.75 = 175,520.75/x
  3. Step 3: Cross multiply
    110,828.25x = 175,520.75 × 175,520.75
  4. Step 4: Simplify right side
    110,828.25x = 30,807,533,680.56
  5. Step 5: Solve for x
    x = 30,807,533,680.56/110,828.25
  6. Step 6: Final answer
    x = 277,975.46

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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.