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Finding the Third Proportional to 128,876 and 282,674

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Solution

The third proportional to 128,876 and 282,674 is: 620,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,876 : 282,674 = 282,674 : x
  2. Step 2: Convert to fraction form
    128,876/282,674 = 282,674/x
  3. Step 3: Cross multiply
    128,876x = 282,674 × 282,674
  4. Step 4: Simplify right side
    128,876x = 79,904,590,276
  5. Step 5: Solve for x
    x = 79,904,590,276/128,876
  6. Step 6: Final answer
    x = 620,011.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.