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Finding the Third Proportional to 186,448 and 397,804

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Solution

The third proportional to 186,448 and 397,804 is: 848,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,448 : 397,804 = 397,804 : x
  2. Step 2: Convert to fraction form
    186,448/397,804 = 397,804/x
  3. Step 3: Cross multiply
    186,448x = 397,804 × 397,804
  4. Step 4: Simplify right side
    186,448x = 158,248,022,416
  5. Step 5: Solve for x
    x = 158,248,022,416/186,448
  6. Step 6: Final answer
    x = 848,751.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.