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Finding the Third Proportional to 199,719 and 434,706

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Solution

The third proportional to 199,719 and 434,706 is: 946,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,719 : 434,706 = 434,706 : x
  2. Step 2: Convert to fraction form
    199,719/434,706 = 434,706/x
  3. Step 3: Cross multiply
    199,719x = 434,706 × 434,706
  4. Step 4: Simplify right side
    199,719x = 188,969,306,436
  5. Step 5: Solve for x
    x = 188,969,306,436/199,719
  6. Step 6: Final answer
    x = 946,175.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.