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Finding the Third Proportional to 201,540 and 434,184

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Solution

The third proportional to 201,540 and 434,184 is: 935,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,540 : 434,184 = 434,184 : x
  2. Step 2: Convert to fraction form
    201,540/434,184 = 434,184/x
  3. Step 3: Cross multiply
    201,540x = 434,184 × 434,184
  4. Step 4: Simplify right side
    201,540x = 188,515,745,856
  5. Step 5: Solve for x
    x = 188,515,745,856/201,540
  6. Step 6: Final answer
    x = 935,376.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.