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Finding the Third Proportional to 83,322 and 180,855

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Solution

The third proportional to 83,322 and 180,855 is: 392,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322 : 180,855 = 180,855 : x
  2. Step 2: Convert to fraction form
    83,322/180,855 = 180,855/x
  3. Step 3: Cross multiply
    83,322x = 180,855 × 180,855
  4. Step 4: Simplify right side
    83,322x = 32,708,531,025
  5. Step 5: Solve for x
    x = 32,708,531,025/83,322
  6. Step 6: Final answer
    x = 392,555.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.