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Finding the Third Proportional to 84,680 and 182,752

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Solution

The third proportional to 84,680 and 182,752 is: 394,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,680 : 182,752 = 182,752 : x
  2. Step 2: Convert to fraction form
    84,680/182,752 = 182,752/x
  3. Step 3: Cross multiply
    84,680x = 182,752 × 182,752
  4. Step 4: Simplify right side
    84,680x = 33,398,293,504
  5. Step 5: Solve for x
    x = 33,398,293,504/84,680
  6. Step 6: Final answer
    x = 394,405.92

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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.