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Finding the Third Proportional to 134,622 and 283,446

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Solution

The third proportional to 134,622 and 283,446 is: 596,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,622 : 283,446 = 283,446 : x
  2. Step 2: Convert to fraction form
    134,622/283,446 = 283,446/x
  3. Step 3: Cross multiply
    134,622x = 283,446 × 283,446
  4. Step 4: Simplify right side
    134,622x = 80,341,634,916
  5. Step 5: Solve for x
    x = 80,341,634,916/134,622
  6. Step 6: Final answer
    x = 596,794.25

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Why These Related Problems?

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