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Finding the Third Proportional to 134,601 and 283,152

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Solution

The third proportional to 134,601 and 283,152 is: 595,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,601 : 283,152 = 283,152 : x
  2. Step 2: Convert to fraction form
    134,601/283,152 = 283,152/x
  3. Step 3: Cross multiply
    134,601x = 283,152 × 283,152
  4. Step 4: Simplify right side
    134,601x = 80,175,055,104
  5. Step 5: Solve for x
    x = 80,175,055,104/134,601
  6. Step 6: Final answer
    x = 595,649.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.