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Finding the Third Proportional to 83,295 and 179,895

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Solution

The third proportional to 83,295 and 179,895 is: 388,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295 : 179,895 = 179,895 : x
  2. Step 2: Convert to fraction form
    83,295/179,895 = 179,895/x
  3. Step 3: Cross multiply
    83,295x = 179,895 × 179,895
  4. Step 4: Simplify right side
    83,295x = 32,362,211,025
  5. Step 5: Solve for x
    x = 32,362,211,025/83,295
  6. Step 6: Final answer
    x = 388,525.25

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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.