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Finding the Third Proportional to 83,556.56 and 180,429.19

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Solution

The third proportional to 83,556.56 and 180,429.19 is: 389,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,556.56 : 180,429.19 = 180,429.19 : x
  2. Step 2: Convert to fraction form
    83,556.56/180,429.19 = 180,429.19/x
  3. Step 3: Cross multiply
    83,556.56x = 180,429.19 × 180,429.19
  4. Step 4: Simplify right side
    83,556.56x = 32,554,691,701.91
  5. Step 5: Solve for x
    x = 32,554,691,701.91/83,556.56
  6. Step 6: Final answer
    x = 389,612.63

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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.