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Finding the Third Proportional to 186,933 and 410,055

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Solution

The third proportional to 186,933 and 410,055 is: 899,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,933 : 410,055 = 410,055 : x
  2. Step 2: Convert to fraction form
    186,933/410,055 = 410,055/x
  3. Step 3: Cross multiply
    186,933x = 410,055 × 410,055
  4. Step 4: Simplify right side
    186,933x = 168,145,103,025
  5. Step 5: Solve for x
    x = 168,145,103,025/186,933
  6. Step 6: Final answer
    x = 899,493.95

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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.