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Finding the Third Proportional to 186,830 and 386,956

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Solution

The third proportional to 186,830 and 386,956 is: 801,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,830 : 386,956 = 386,956 : x
  2. Step 2: Convert to fraction form
    186,830/386,956 = 386,956/x
  3. Step 3: Cross multiply
    186,830x = 386,956 × 386,956
  4. Step 4: Simplify right side
    186,830x = 149,734,945,936
  5. Step 5: Solve for x
    x = 149,734,945,936/186,830
  6. Step 6: Final answer
    x = 801,450.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.