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Finding the Third Proportional to 186,146 and 388,036

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Solution

The third proportional to 186,146 and 388,036 is: 808,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,146 : 388,036 = 388,036 : x
  2. Step 2: Convert to fraction form
    186,146/388,036 = 388,036/x
  3. Step 3: Cross multiply
    186,146x = 388,036 × 388,036
  4. Step 4: Simplify right side
    186,146x = 150,571,937,296
  5. Step 5: Solve for x
    x = 150,571,937,296/186,146
  6. Step 6: Final answer
    x = 808,891.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.