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Finding the Third Proportional to 135,685 and 283,749

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Solution

The third proportional to 135,685 and 283,749 is: 593,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,685 : 283,749 = 283,749 : x
  2. Step 2: Convert to fraction form
    135,685/283,749 = 283,749/x
  3. Step 3: Cross multiply
    135,685x = 283,749 × 283,749
  4. Step 4: Simplify right side
    135,685x = 80,513,495,001
  5. Step 5: Solve for x
    x = 80,513,495,001/135,685
  6. Step 6: Final answer
    x = 593,385.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.