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Finding the Third Proportional to 208,132.13 and 451,256.25

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Solution

The third proportional to 208,132.13 and 451,256.25 is: 978,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132.13 : 451,256.25 = 451,256.25 : x
  2. Step 2: Convert to fraction form
    208,132.13/451,256.25 = 451,256.25/x
  3. Step 3: Cross multiply
    208,132.13x = 451,256.25 × 451,256.25
  4. Step 4: Simplify right side
    208,132.13x = 203,632,203,164.06
  5. Step 5: Solve for x
    x = 203,632,203,164.06/208,132.13
  6. Step 6: Final answer
    x = 978,379.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.