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Finding the Third Proportional to 201,371.06 and 434,271.38

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Solution

The third proportional to 201,371.06 and 434,271.38 is: 936,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,371.06 : 434,271.38 = 434,271.38 : x
  2. Step 2: Convert to fraction form
    201,371.06/434,271.38 = 434,271.38/x
  3. Step 3: Cross multiply
    201,371.06x = 434,271.38 × 434,271.38
  4. Step 4: Simplify right side
    201,371.06x = 188,591,627,144.39
  5. Step 5: Solve for x
    x = 188,591,627,144.39/201,371.06
  6. Step 6: Final answer
    x = 936,537.88

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