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Finding the Third Proportional to 84,267.50 and 180,199

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Solution

The third proportional to 84,267.50 and 180,199 is: 385,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,267.50 : 180,199 = 180,199 : x
  2. Step 2: Convert to fraction form
    84,267.50/180,199 = 180,199/x
  3. Step 3: Cross multiply
    84,267.50x = 180,199 × 180,199
  4. Step 4: Simplify right side
    84,267.50x = 32,471,679,601
  5. Step 5: Solve for x
    x = 32,471,679,601/84,267.50
  6. Step 6: Final answer
    x = 385,340.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.