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Finding the Third Proportional to 151,780.88 and 334,122.75

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Solution

The third proportional to 151,780.88 and 334,122.75 is: 735,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,780.88 : 334,122.75 = 334,122.75 : x
  2. Step 2: Convert to fraction form
    151,780.88/334,122.75 = 334,122.75/x
  3. Step 3: Cross multiply
    151,780.88x = 334,122.75 × 334,122.75
  4. Step 4: Simplify right side
    151,780.88x = 111,638,012,067.56
  5. Step 5: Solve for x
    x = 111,638,012,067.56/151,780.88
  6. Step 6: Final answer
    x = 735,520.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.