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Finding the Third Proportional to 119,743.88 and 255,750.75

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Solution

The third proportional to 119,743.88 and 255,750.75 is: 546,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,743.88 : 255,750.75 = 255,750.75 : x
  2. Step 2: Convert to fraction form
    119,743.88/255,750.75 = 255,750.75/x
  3. Step 3: Cross multiply
    119,743.88x = 255,750.75 × 255,750.75
  4. Step 4: Simplify right side
    119,743.88x = 65,408,446,125.56
  5. Step 5: Solve for x
    x = 65,408,446,125.56/119,743.88
  6. Step 6: Final answer
    x = 546,236.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.