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Finding the Third Proportional to 187,020 and 280,456

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Solution

The third proportional to 187,020 and 280,456 is: 420,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,020 : 280,456 = 280,456 : x
  2. Step 2: Convert to fraction form
    187,020/280,456 = 280,456/x
  3. Step 3: Cross multiply
    187,020x = 280,456 × 280,456
  4. Step 4: Simplify right side
    187,020x = 78,655,567,936
  5. Step 5: Solve for x
    x = 78,655,567,936/187,020
  6. Step 6: Final answer
    x = 420,573.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.