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Finding the Third Proportional to 198,174 and 435,714

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Solution

The third proportional to 198,174 and 435,714 is: 957,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,174 : 435,714 = 435,714 : x
  2. Step 2: Convert to fraction form
    198,174/435,714 = 435,714/x
  3. Step 3: Cross multiply
    198,174x = 435,714 × 435,714
  4. Step 4: Simplify right side
    198,174x = 189,846,689,796
  5. Step 5: Solve for x
    x = 189,846,689,796/198,174
  6. Step 6: Final answer
    x = 957,979.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.