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Finding the Third Proportional to 186,966 and 407,769.75

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Solution

The third proportional to 186,966 and 407,769.75 is: 889,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,966 : 407,769.75 = 407,769.75 : x
  2. Step 2: Convert to fraction form
    186,966/407,769.75 = 407,769.75/x
  3. Step 3: Cross multiply
    186,966x = 407,769.75 × 407,769.75
  4. Step 4: Simplify right side
    186,966x = 166,276,169,015.06
  5. Step 5: Solve for x
    x = 166,276,169,015.06/186,966
  6. Step 6: Final answer
    x = 889,339.07

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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.