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Finding the Third Proportional to 188,840.53 and 386,403.75

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Solution

The third proportional to 188,840.53 and 386,403.75 is: 790,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,840.53 : 386,403.75 = 386,403.75 : x
  2. Step 2: Convert to fraction form
    188,840.53/386,403.75 = 386,403.75/x
  3. Step 3: Cross multiply
    188,840.53x = 386,403.75 × 386,403.75
  4. Step 4: Simplify right side
    188,840.53x = 149,307,858,014.06
  5. Step 5: Solve for x
    x = 149,307,858,014.06/188,840.53
  6. Step 6: Final answer
    x = 790,655.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.