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Finding the Third Proportional to 188,874 and 408,724

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Solution

The third proportional to 188,874 and 408,724 is: 884,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,874 : 408,724 = 408,724 : x
  2. Step 2: Convert to fraction form
    188,874/408,724 = 408,724/x
  3. Step 3: Cross multiply
    188,874x = 408,724 × 408,724
  4. Step 4: Simplify right side
    188,874x = 167,055,308,176
  5. Step 5: Solve for x
    x = 167,055,308,176/188,874
  6. Step 6: Final answer
    x = 884,480.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.