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Finding the Third Proportional to 193,960.50 and 468,089

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Solution

The third proportional to 193,960.50 and 468,089 is: 1,129,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,960.50 : 468,089 = 468,089 : x
  2. Step 2: Convert to fraction form
    193,960.50/468,089 = 468,089/x
  3. Step 3: Cross multiply
    193,960.50x = 468,089 × 468,089
  4. Step 4: Simplify right side
    193,960.50x = 219,107,311,921
  5. Step 5: Solve for x
    x = 219,107,311,921/193,960.50
  6. Step 6: Final answer
    x = 1,129,649.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.