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Finding the Third Proportional to 169,499.50 and 230,199

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Solution

The third proportional to 169,499.50 and 230,199 is: 312,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,499.50 : 230,199 = 230,199 : x
  2. Step 2: Convert to fraction form
    169,499.50/230,199 = 230,199/x
  3. Step 3: Cross multiply
    169,499.50x = 230,199 × 230,199
  4. Step 4: Simplify right side
    169,499.50x = 52,991,579,601
  5. Step 5: Solve for x
    x = 52,991,579,601/169,499.50
  6. Step 6: Final answer
    x = 312,635.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.