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Finding the Third Proportional to 119,288 and 184,476

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Solution

The third proportional to 119,288 and 184,476 is: 285,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,288 : 184,476 = 184,476 : x
  2. Step 2: Convert to fraction form
    119,288/184,476 = 184,476/x
  3. Step 3: Cross multiply
    119,288x = 184,476 × 184,476
  4. Step 4: Simplify right side
    119,288x = 34,031,394,576
  5. Step 5: Solve for x
    x = 34,031,394,576/119,288
  6. Step 6: Final answer
    x = 285,287.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.