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Finding the Third Proportional to 136,884 and 204,769

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Solution

The third proportional to 136,884 and 204,769 is: 306,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,884 : 204,769 = 204,769 : x
  2. Step 2: Convert to fraction form
    136,884/204,769 = 204,769/x
  3. Step 3: Cross multiply
    136,884x = 204,769 × 204,769
  4. Step 4: Simplify right side
    136,884x = 41,930,343,361
  5. Step 5: Solve for x
    x = 41,930,343,361/136,884
  6. Step 6: Final answer
    x = 306,320.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.