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Finding the Third Proportional to 80,733 and 174,383

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Solution

The third proportional to 80,733 and 174,383 is: 376,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,733 : 174,383 = 174,383 : x
  2. Step 2: Convert to fraction form
    80,733/174,383 = 174,383/x
  3. Step 3: Cross multiply
    80,733x = 174,383 × 174,383
  4. Step 4: Simplify right side
    80,733x = 30,409,430,689
  5. Step 5: Solve for x
    x = 30,409,430,689/80,733
  6. Step 6: Final answer
    x = 376,666.68

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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.