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Finding the Third Proportional to 181,896 and 392,829

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Solution

The third proportional to 181,896 and 392,829 is: 848,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,896 : 392,829 = 392,829 : x
  2. Step 2: Convert to fraction form
    181,896/392,829 = 392,829/x
  3. Step 3: Cross multiply
    181,896x = 392,829 × 392,829
  4. Step 4: Simplify right side
    181,896x = 154,314,623,241
  5. Step 5: Solve for x
    x = 154,314,623,241/181,896
  6. Step 6: Final answer
    x = 848,367.33

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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.