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Finding the Third Proportional to 119,576 and 190,296

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Solution

The third proportional to 119,576 and 190,296 is: 302,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,576 : 190,296 = 190,296 : x
  2. Step 2: Convert to fraction form
    119,576/190,296 = 190,296/x
  3. Step 3: Cross multiply
    119,576x = 190,296 × 190,296
  4. Step 4: Simplify right side
    119,576x = 36,212,567,616
  5. Step 5: Solve for x
    x = 36,212,567,616/119,576
  6. Step 6: Final answer
    x = 302,841.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.