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Finding the Third Proportional to 186,708 and 409,698

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Solution

The third proportional to 186,708 and 409,698 is: 899,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,708 : 409,698 = 409,698 : x
  2. Step 2: Convert to fraction form
    186,708/409,698 = 409,698/x
  3. Step 3: Cross multiply
    186,708x = 409,698 × 409,698
  4. Step 4: Simplify right side
    186,708x = 167,852,451,204
  5. Step 5: Solve for x
    x = 167,852,451,204/186,708
  6. Step 6: Final answer
    x = 899,010.49

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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.