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Finding the Third Proportional to 192,523.50 and 417,123

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Solution

The third proportional to 192,523.50 and 417,123 is: 903,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,523.50 : 417,123 = 417,123 : x
  2. Step 2: Convert to fraction form
    192,523.50/417,123 = 417,123/x
  3. Step 3: Cross multiply
    192,523.50x = 417,123 × 417,123
  4. Step 4: Simplify right side
    192,523.50x = 173,991,597,129
  5. Step 5: Solve for x
    x = 173,991,597,129/192,523.50
  6. Step 6: Final answer
    x = 903,742.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.