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Finding the Third Proportional to 180,279.42 and 384,692.73

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Solution

The third proportional to 180,279.42 and 384,692.73 is: 820,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,279.42 : 384,692.73 = 384,692.73 : x
  2. Step 2: Convert to fraction form
    180,279.42/384,692.73 = 384,692.73/x
  3. Step 3: Cross multiply
    180,279.42x = 384,692.73 × 384,692.73
  4. Step 4: Simplify right side
    180,279.42x = 147,988,496,875.50
  5. Step 5: Solve for x
    x = 147,988,496,875.50/180,279.42
  6. Step 6: Final answer
    x = 820,884.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.