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Finding the Third Proportional to 83,560 and 182,364

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Solution

The third proportional to 83,560 and 182,364 is: 397,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,560 : 182,364 = 182,364 : x
  2. Step 2: Convert to fraction form
    83,560/182,364 = 182,364/x
  3. Step 3: Cross multiply
    83,560x = 182,364 × 182,364
  4. Step 4: Simplify right side
    83,560x = 33,256,628,496
  5. Step 5: Solve for x
    x = 33,256,628,496/83,560
  6. Step 6: Final answer
    x = 397,996.99

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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.