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Finding the Third Proportional to 167,568.50 and 359,123

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Solution

The third proportional to 167,568.50 and 359,123 is: 769,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,568.50 : 359,123 = 359,123 : x
  2. Step 2: Convert to fraction form
    167,568.50/359,123 = 359,123/x
  3. Step 3: Cross multiply
    167,568.50x = 359,123 × 359,123
  4. Step 4: Simplify right side
    167,568.50x = 128,969,329,129
  5. Step 5: Solve for x
    x = 128,969,329,129/167,568.50
  6. Step 6: Final answer
    x = 769,651.39

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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.