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Finding the Third Proportional to 186,743 and 409,936

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Solution

The third proportional to 186,743 and 409,936 is: 899,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,743 : 409,936 = 409,936 : x
  2. Step 2: Convert to fraction form
    186,743/409,936 = 409,936/x
  3. Step 3: Cross multiply
    186,743x = 409,936 × 409,936
  4. Step 4: Simplify right side
    186,743x = 168,047,524,096
  5. Step 5: Solve for x
    x = 168,047,524,096/186,743
  6. Step 6: Final answer
    x = 899,886.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.