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Finding the Third Proportional to 188,662 and 411,020

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Solution

The third proportional to 188,662 and 411,020 is: 895,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,662 : 411,020 = 411,020 : x
  2. Step 2: Convert to fraction form
    188,662/411,020 = 411,020/x
  3. Step 3: Cross multiply
    188,662x = 411,020 × 411,020
  4. Step 4: Simplify right side
    188,662x = 168,937,440,400
  5. Step 5: Solve for x
    x = 168,937,440,400/188,662
  6. Step 6: Final answer
    x = 895,450.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.