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Finding the Third Proportional to 188,872 and 412,088

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Solution

The third proportional to 188,872 and 412,088 is: 899,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,872 : 412,088 = 412,088 : x
  2. Step 2: Convert to fraction form
    188,872/412,088 = 412,088/x
  3. Step 3: Cross multiply
    188,872x = 412,088 × 412,088
  4. Step 4: Simplify right side
    188,872x = 169,816,519,744
  5. Step 5: Solve for x
    x = 169,816,519,744/188,872
  6. Step 6: Final answer
    x = 899,109.02

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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.