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Finding the Third Proportional to 181,899 and 392,766

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Solution

The third proportional to 181,899 and 392,766 is: 848,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,899 : 392,766 = 392,766 : x
  2. Step 2: Convert to fraction form
    181,899/392,766 = 392,766/x
  3. Step 3: Cross multiply
    181,899x = 392,766 × 392,766
  4. Step 4: Simplify right side
    181,899x = 154,265,130,756
  5. Step 5: Solve for x
    x = 154,265,130,756/181,899
  6. Step 6: Final answer
    x = 848,081.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.