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Finding the Third Proportional to 110,245.50 and 175,214.25

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Solution

The third proportional to 110,245.50 and 175,214.25 is: 278,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,245.50 : 175,214.25 = 175,214.25 : x
  2. Step 2: Convert to fraction form
    110,245.50/175,214.25 = 175,214.25/x
  3. Step 3: Cross multiply
    110,245.50x = 175,214.25 × 175,214.25
  4. Step 4: Simplify right side
    110,245.50x = 30,700,033,403.06
  5. Step 5: Solve for x
    x = 30,700,033,403.06/110,245.50
  6. Step 6: Final answer
    x = 278,469.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.