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Finding the Third Proportional to 186,954.75 and 407,747.25

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Solution

The third proportional to 186,954.75 and 407,747.25 is: 889,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,954.75 : 407,747.25 = 407,747.25 : x
  2. Step 2: Convert to fraction form
    186,954.75/407,747.25 = 407,747.25/x
  3. Step 3: Cross multiply
    186,954.75x = 407,747.25 × 407,747.25
  4. Step 4: Simplify right side
    186,954.75x = 166,257,819,882.56
  5. Step 5: Solve for x
    x = 166,257,819,882.56/186,954.75
  6. Step 6: Final answer
    x = 889,294.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.