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Finding the Third Proportional to 201,538.13 and 434,544.75

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Solution

The third proportional to 201,538.13 and 434,544.75 is: 936,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.13 : 434,544.75 = 434,544.75 : x
  2. Step 2: Convert to fraction form
    201,538.13/434,544.75 = 434,544.75/x
  3. Step 3: Cross multiply
    201,538.13x = 434,544.75 × 434,544.75
  4. Step 4: Simplify right side
    201,538.13x = 188,829,139,752.56
  5. Step 5: Solve for x
    x = 188,829,139,752.56/201,538.13
  6. Step 6: Final answer
    x = 936,940.04

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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.