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Finding the Third Proportional to 180,636.75 and 372,207.38

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Solution

The third proportional to 180,636.75 and 372,207.38 is: 766,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,636.75 : 372,207.38 = 372,207.38 : x
  2. Step 2: Convert to fraction form
    180,636.75/372,207.38 = 372,207.38/x
  3. Step 3: Cross multiply
    180,636.75x = 372,207.38 × 372,207.38
  4. Step 4: Simplify right side
    180,636.75x = 138,538,330,004.39
  5. Step 5: Solve for x
    x = 138,538,330,004.39/180,636.75
  6. Step 6: Final answer
    x = 766,944.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.