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Finding the Third Proportional to 183,776 and 396,896

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Solution

The third proportional to 183,776 and 396,896 is: 857,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,776 : 396,896 = 396,896 : x
  2. Step 2: Convert to fraction form
    183,776/396,896 = 396,896/x
  3. Step 3: Cross multiply
    183,776x = 396,896 × 396,896
  4. Step 4: Simplify right side
    183,776x = 157,526,434,816
  5. Step 5: Solve for x
    x = 157,526,434,816/183,776
  6. Step 6: Final answer
    x = 857,165.43

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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.