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Finding the Third Proportional to 87,435 and 180,476

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Solution

The third proportional to 87,435 and 180,476 is: 372,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,435 : 180,476 = 180,476 : x
  2. Step 2: Convert to fraction form
    87,435/180,476 = 180,476/x
  3. Step 3: Cross multiply
    87,435x = 180,476 × 180,476
  4. Step 4: Simplify right side
    87,435x = 32,571,586,576
  5. Step 5: Solve for x
    x = 32,571,586,576/87,435
  6. Step 6: Final answer
    x = 372,523.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.