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Finding the Third Proportional to 136,684 and 280,172

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Solution

The third proportional to 136,684 and 280,172 is: 574,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,684 : 280,172 = 280,172 : x
  2. Step 2: Convert to fraction form
    136,684/280,172 = 280,172/x
  3. Step 3: Cross multiply
    136,684x = 280,172 × 280,172
  4. Step 4: Simplify right side
    136,684x = 78,496,349,584
  5. Step 5: Solve for x
    x = 78,496,349,584/136,684
  6. Step 6: Final answer
    x = 574,290.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.