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Finding the Third Proportional to 188,839.69 and 386,402.06

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Solution

The third proportional to 188,839.69 and 386,402.06 is: 790,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,839.69 : 386,402.06 = 386,402.06 : x
  2. Step 2: Convert to fraction form
    188,839.69/386,402.06 = 386,402.06/x
  3. Step 3: Cross multiply
    188,839.69x = 386,402.06 × 386,402.06
  4. Step 4: Simplify right side
    188,839.69x = 149,306,553,904.25
  5. Step 5: Solve for x
    x = 149,306,553,904.25/188,839.69
  6. Step 6: Final answer
    x = 790,652.41

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