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Finding the Third Proportional to 193,868.44 and 291,007.69

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Solution

The third proportional to 193,868.44 and 291,007.69 is: 436,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,868.44 : 291,007.69 = 291,007.69 : x
  2. Step 2: Convert to fraction form
    193,868.44/291,007.69 = 291,007.69/x
  3. Step 3: Cross multiply
    193,868.44x = 291,007.69 × 291,007.69
  4. Step 4: Simplify right side
    193,868.44x = 84,685,474,184.10
  5. Step 5: Solve for x
    x = 84,685,474,184.10/193,868.44
  6. Step 6: Final answer
    x = 436,819.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.