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Finding the Third Proportional to 83,553.42 and 180,423.98

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Solution

The third proportional to 83,553.42 and 180,423.98 is: 389,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,553.42 : 180,423.98 = 180,423.98 : x
  2. Step 2: Convert to fraction form
    83,553.42/180,423.98 = 180,423.98/x
  3. Step 3: Cross multiply
    83,553.42x = 180,423.98 × 180,423.98
  4. Step 4: Simplify right side
    83,553.42x = 32,552,814,137.75
  5. Step 5: Solve for x
    x = 32,552,814,137.75/83,553.42
  6. Step 6: Final answer
    x = 389,604.80

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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.