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Finding the Third Proportional to 197,296 and 425,696

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Solution

The third proportional to 197,296 and 425,696 is: 918,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,296 : 425,696 = 425,696 : x
  2. Step 2: Convert to fraction form
    197,296/425,696 = 425,696/x
  3. Step 3: Cross multiply
    197,296x = 425,696 × 425,696
  4. Step 4: Simplify right side
    197,296x = 181,217,084,416
  5. Step 5: Solve for x
    x = 181,217,084,416/197,296
  6. Step 6: Final answer
    x = 918,503.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.