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Finding the Third Proportional to 174,866 and 313,745

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Solution

The third proportional to 174,866 and 313,745 is: 562,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,866 : 313,745 = 313,745 : x
  2. Step 2: Convert to fraction form
    174,866/313,745 = 313,745/x
  3. Step 3: Cross multiply
    174,866x = 313,745 × 313,745
  4. Step 4: Simplify right side
    174,866x = 98,435,925,025
  5. Step 5: Solve for x
    x = 98,435,925,025/174,866
  6. Step 6: Final answer
    x = 562,922.04

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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.