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Finding the Third Proportional to 186,834.75 and 408,738

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Solution

The third proportional to 186,834.75 and 408,738 is: 894,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,834.75 : 408,738 = 408,738 : x
  2. Step 2: Convert to fraction form
    186,834.75/408,738 = 408,738/x
  3. Step 3: Cross multiply
    186,834.75x = 408,738 × 408,738
  4. Step 4: Simplify right side
    186,834.75x = 167,066,752,644
  5. Step 5: Solve for x
    x = 167,066,752,644/186,834.75
  6. Step 6: Final answer
    x = 894,195.29

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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.