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Finding the Third Proportional to 199,296 and 296,106

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Solution

The third proportional to 199,296 and 296,106 is: 439,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,296 : 296,106 = 296,106 : x
  2. Step 2: Convert to fraction form
    199,296/296,106 = 296,106/x
  3. Step 3: Cross multiply
    199,296x = 296,106 × 296,106
  4. Step 4: Simplify right side
    199,296x = 87,678,763,236
  5. Step 5: Solve for x
    x = 87,678,763,236/199,296
  6. Step 6: Final answer
    x = 439,942.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.