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Finding the Third Proportional to 83,558 and 180,435

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Solution

The third proportional to 83,558 and 180,435 is: 389,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,558 : 180,435 = 180,435 : x
  2. Step 2: Convert to fraction form
    83,558/180,435 = 180,435/x
  3. Step 3: Cross multiply
    83,558x = 180,435 × 180,435
  4. Step 4: Simplify right side
    83,558x = 32,556,789,225
  5. Step 5: Solve for x
    x = 32,556,789,225/83,558
  6. Step 6: Final answer
    x = 389,631.03

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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.