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Finding the Third Proportional to 182,390 and 284,655

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Solution

The third proportional to 182,390 and 284,655 is: 444,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,390 : 284,655 = 284,655 : x
  2. Step 2: Convert to fraction form
    182,390/284,655 = 284,655/x
  3. Step 3: Cross multiply
    182,390x = 284,655 × 284,655
  4. Step 4: Simplify right side
    182,390x = 81,028,469,025
  5. Step 5: Solve for x
    x = 81,028,469,025/182,390
  6. Step 6: Final answer
    x = 444,259.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.