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Finding the Third Proportional to 134,571 and 283,083

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Solution

The third proportional to 134,571 and 283,083 is: 595,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,571 : 283,083 = 283,083 : x
  2. Step 2: Convert to fraction form
    134,571/283,083 = 283,083/x
  3. Step 3: Cross multiply
    134,571x = 283,083 × 283,083
  4. Step 4: Simplify right side
    134,571x = 80,135,984,889
  5. Step 5: Solve for x
    x = 80,135,984,889/134,571
  6. Step 6: Final answer
    x = 595,492.23

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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.