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Finding the Third Proportional to 201,225.25 and 437,394.75

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Solution

The third proportional to 201,225.25 and 437,394.75 is: 950,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.25 : 437,394.75 = 437,394.75 : x
  2. Step 2: Convert to fraction form
    201,225.25/437,394.75 = 437,394.75/x
  3. Step 3: Cross multiply
    201,225.25x = 437,394.75 × 437,394.75
  4. Step 4: Simplify right side
    201,225.25x = 191,314,167,327.56
  5. Step 5: Solve for x
    x = 191,314,167,327.56/201,225.25
  6. Step 6: Final answer
    x = 950,746.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.