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Finding the Third Proportional to 133,634 and 285,060

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Solution

The third proportional to 133,634 and 285,060 is: 608,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,634 : 285,060 = 285,060 : x
  2. Step 2: Convert to fraction form
    133,634/285,060 = 285,060/x
  3. Step 3: Cross multiply
    133,634x = 285,060 × 285,060
  4. Step 4: Simplify right side
    133,634x = 81,259,203,600
  5. Step 5: Solve for x
    x = 81,259,203,600/133,634
  6. Step 6: Final answer
    x = 608,072.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.