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Finding the Third Proportional to 135,753 and 298,272

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Solution

The third proportional to 135,753 and 298,272 is: 655,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,753 : 298,272 = 298,272 : x
  2. Step 2: Convert to fraction form
    135,753/298,272 = 298,272/x
  3. Step 3: Cross multiply
    135,753x = 298,272 × 298,272
  4. Step 4: Simplify right side
    135,753x = 88,966,185,984
  5. Step 5: Solve for x
    x = 88,966,185,984/135,753
  6. Step 6: Final answer
    x = 655,353.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.