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Finding the Third Proportional to 132,531.75 and 276,239.25

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Solution

The third proportional to 132,531.75 and 276,239.25 is: 575,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,531.75 : 276,239.25 = 276,239.25 : x
  2. Step 2: Convert to fraction form
    132,531.75/276,239.25 = 276,239.25/x
  3. Step 3: Cross multiply
    132,531.75x = 276,239.25 × 276,239.25
  4. Step 4: Simplify right side
    132,531.75x = 76,308,123,240.56
  5. Step 5: Solve for x
    x = 76,308,123,240.56/132,531.75
  6. Step 6: Final answer
    x = 575,772.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.