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Finding the Third Proportional to 186,917.75 and 410,023.25

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Solution

The third proportional to 186,917.75 and 410,023.25 is: 899,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,917.75 : 410,023.25 = 410,023.25 : x
  2. Step 2: Convert to fraction form
    186,917.75/410,023.25 = 410,023.25/x
  3. Step 3: Cross multiply
    186,917.75x = 410,023.25 × 410,023.25
  4. Step 4: Simplify right side
    186,917.75x = 168,119,065,540.56
  5. Step 5: Solve for x
    x = 168,119,065,540.56/186,917.75
  6. Step 6: Final answer
    x = 899,428.04

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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.