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Finding the Third Proportional to 199,174 and 435,644

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Solution

The third proportional to 199,174 and 435,644 is: 952,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,174 : 435,644 = 435,644 : x
  2. Step 2: Convert to fraction form
    199,174/435,644 = 435,644/x
  3. Step 3: Cross multiply
    199,174x = 435,644 × 435,644
  4. Step 4: Simplify right side
    199,174x = 189,785,694,736
  5. Step 5: Solve for x
    x = 189,785,694,736/199,174
  6. Step 6: Final answer
    x = 952,863.80

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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.