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Finding the Third Proportional to 134,529 and 282,999

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Solution

The third proportional to 134,529 and 282,999 is: 595,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,529 : 282,999 = 282,999 : x
  2. Step 2: Convert to fraction form
    134,529/282,999 = 282,999/x
  3. Step 3: Cross multiply
    134,529x = 282,999 × 282,999
  4. Step 4: Simplify right side
    134,529x = 80,088,434,001
  5. Step 5: Solve for x
    x = 80,088,434,001/134,529
  6. Step 6: Final answer
    x = 595,324.68

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