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Finding the Third Proportional to 186,916 and 404,936

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Solution

The third proportional to 186,916 and 404,936 is: 877,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,916 : 404,936 = 404,936 : x
  2. Step 2: Convert to fraction form
    186,916/404,936 = 404,936/x
  3. Step 3: Cross multiply
    186,916x = 404,936 × 404,936
  4. Step 4: Simplify right side
    186,916x = 163,973,164,096
  5. Step 5: Solve for x
    x = 163,973,164,096/186,916
  6. Step 6: Final answer
    x = 877,255.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.