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Finding the Third Proportional to 186,825 and 408,717

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Solution

The third proportional to 186,825 and 408,717 is: 894,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,825 : 408,717 = 408,717 : x
  2. Step 2: Convert to fraction form
    186,825/408,717 = 408,717/x
  3. Step 3: Cross multiply
    186,825x = 408,717 × 408,717
  4. Step 4: Simplify right side
    186,825x = 167,049,586,089
  5. Step 5: Solve for x
    x = 167,049,586,089/186,825
  6. Step 6: Final answer
    x = 894,150.07

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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.