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Finding the Third Proportional to 190,592 and 280,182

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Solution

The third proportional to 190,592 and 280,182 is: 411,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,592 : 280,182 = 280,182 : x
  2. Step 2: Convert to fraction form
    190,592/280,182 = 280,182/x
  3. Step 3: Cross multiply
    190,592x = 280,182 × 280,182
  4. Step 4: Simplify right side
    190,592x = 78,501,953,124
  5. Step 5: Solve for x
    x = 78,501,953,124/190,592
  6. Step 6: Final answer
    x = 411,884.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.