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Finding the Third Proportional to 83,548 and 182,340

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Solution

The third proportional to 83,548 and 182,340 is: 397,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548 : 182,340 = 182,340 : x
  2. Step 2: Convert to fraction form
    83,548/182,340 = 182,340/x
  3. Step 3: Cross multiply
    83,548x = 182,340 × 182,340
  4. Step 4: Simplify right side
    83,548x = 33,247,875,600
  5. Step 5: Solve for x
    x = 33,247,875,600/83,548
  6. Step 6: Final answer
    x = 397,949.39

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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.