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Finding the Third Proportional to 134,188.75 and 289,394.75

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Solution

The third proportional to 134,188.75 and 289,394.75 is: 624,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,188.75 : 289,394.75 = 289,394.75 : x
  2. Step 2: Convert to fraction form
    134,188.75/289,394.75 = 289,394.75/x
  3. Step 3: Cross multiply
    134,188.75x = 289,394.75 × 289,394.75
  4. Step 4: Simplify right side
    134,188.75x = 83,749,321,327.56
  5. Step 5: Solve for x
    x = 83,749,321,327.56/134,188.75
  6. Step 6: Final answer
    x = 624,115.82

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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.