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Finding the Third Proportional to 186,917.25 and 410,022.75

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Solution

The third proportional to 186,917.25 and 410,022.75 is: 899,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,917.25 : 410,022.75 = 410,022.75 : x
  2. Step 2: Convert to fraction form
    186,917.25/410,022.75 = 410,022.75/x
  3. Step 3: Cross multiply
    186,917.25x = 410,022.75 × 410,022.75
  4. Step 4: Simplify right side
    186,917.25x = 168,118,655,517.56
  5. Step 5: Solve for x
    x = 168,118,655,517.56/186,917.25
  6. Step 6: Final answer
    x = 899,428.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.