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Finding the Third Proportional to 174,867 and 313,747.50

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Solution

The third proportional to 174,867 and 313,747.50 is: 562,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,867 : 313,747.50 = 313,747.50 : x
  2. Step 2: Convert to fraction form
    174,867/313,747.50 = 313,747.50/x
  3. Step 3: Cross multiply
    174,867x = 313,747.50 × 313,747.50
  4. Step 4: Simplify right side
    174,867x = 98,437,493,756.25
  5. Step 5: Solve for x
    x = 98,437,493,756.25/174,867
  6. Step 6: Final answer
    x = 562,927.79

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.