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Finding the Third Proportional to 86,323 and 188,657

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Solution

The third proportional to 86,323 and 188,657 is: 412,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,323 : 188,657 = 188,657 : x
  2. Step 2: Convert to fraction form
    86,323/188,657 = 188,657/x
  3. Step 3: Cross multiply
    86,323x = 188,657 × 188,657
  4. Step 4: Simplify right side
    86,323x = 35,591,463,649
  5. Step 5: Solve for x
    x = 35,591,463,649/86,323
  6. Step 6: Final answer
    x = 412,305.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.