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Finding the Third Proportional to 83,943 and 182,655

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Solution

The third proportional to 83,943 and 182,655 is: 397,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,943 : 182,655 = 182,655 : x
  2. Step 2: Convert to fraction form
    83,943/182,655 = 182,655/x
  3. Step 3: Cross multiply
    83,943x = 182,655 × 182,655
  4. Step 4: Simplify right side
    83,943x = 33,362,849,025
  5. Step 5: Solve for x
    x = 33,362,849,025/83,943
  6. Step 6: Final answer
    x = 397,446.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.