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Finding the Third Proportional to 84,722 and 183,391

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Solution

The third proportional to 84,722 and 183,391 is: 396,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,722 : 183,391 = 183,391 : x
  2. Step 2: Convert to fraction form
    84,722/183,391 = 183,391/x
  3. Step 3: Cross multiply
    84,722x = 183,391 × 183,391
  4. Step 4: Simplify right side
    84,722x = 33,632,258,881
  5. Step 5: Solve for x
    x = 33,632,258,881/84,722
  6. Step 6: Final answer
    x = 396,971.97

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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.