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Finding the Third Proportional to 188,517 and 406,554

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Solution

The third proportional to 188,517 and 406,554 is: 876,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,517 : 406,554 = 406,554 : x
  2. Step 2: Convert to fraction form
    188,517/406,554 = 406,554/x
  3. Step 3: Cross multiply
    188,517x = 406,554 × 406,554
  4. Step 4: Simplify right side
    188,517x = 165,286,154,916
  5. Step 5: Solve for x
    x = 165,286,154,916/188,517
  6. Step 6: Final answer
    x = 876,770.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.