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Finding the Third Proportional to 134,498 and 283,972

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Solution

The third proportional to 134,498 and 283,972 is: 599,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,498 : 283,972 = 283,972 : x
  2. Step 2: Convert to fraction form
    134,498/283,972 = 283,972/x
  3. Step 3: Cross multiply
    134,498x = 283,972 × 283,972
  4. Step 4: Simplify right side
    134,498x = 80,640,096,784
  5. Step 5: Solve for x
    x = 80,640,096,784/134,498
  6. Step 6: Final answer
    x = 599,563.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.