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Finding the Third Proportional to 208,064 and 313,568

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Solution

The third proportional to 208,064 and 313,568 is: 472,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064 : 313,568 = 313,568 : x
  2. Step 2: Convert to fraction form
    208,064/313,568 = 313,568/x
  3. Step 3: Cross multiply
    208,064x = 313,568 × 313,568
  4. Step 4: Simplify right side
    208,064x = 98,324,890,624
  5. Step 5: Solve for x
    x = 98,324,890,624/208,064
  6. Step 6: Final answer
    x = 472,570.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.