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Finding the Third Proportional to 83,815 and 180,752

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Solution

The third proportional to 83,815 and 180,752 is: 389,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,815 : 180,752 = 180,752 : x
  2. Step 2: Convert to fraction form
    83,815/180,752 = 180,752/x
  3. Step 3: Cross multiply
    83,815x = 180,752 × 180,752
  4. Step 4: Simplify right side
    83,815x = 32,671,285,504
  5. Step 5: Solve for x
    x = 32,671,285,504/83,815
  6. Step 6: Final answer
    x = 389,802.37

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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.