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Finding the Third Proportional to 174,856.50 and 313,734

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Solution

The third proportional to 174,856.50 and 313,734 is: 562,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,856.50 : 313,734 = 313,734 : x
  2. Step 2: Convert to fraction form
    174,856.50/313,734 = 313,734/x
  3. Step 3: Cross multiply
    174,856.50x = 313,734 × 313,734
  4. Step 4: Simplify right side
    174,856.50x = 98,429,022,756
  5. Step 5: Solve for x
    x = 98,429,022,756/174,856.50
  6. Step 6: Final answer
    x = 562,913.15

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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.