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Finding the Third Proportional to 83,623.50 and 180,364.50

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Solution

The third proportional to 83,623.50 and 180,364.50 is: 389,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,623.50 : 180,364.50 = 180,364.50 : x
  2. Step 2: Convert to fraction form
    83,623.50/180,364.50 = 180,364.50/x
  3. Step 3: Cross multiply
    83,623.50x = 180,364.50 × 180,364.50
  4. Step 4: Simplify right side
    83,623.50x = 32,531,352,860.25
  5. Step 5: Solve for x
    x = 32,531,352,860.25/83,623.50
  6. Step 6: Final answer
    x = 389,021.66

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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.