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Finding the Third Proportional to 140,893.50 and 332,256.75

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Solution

The third proportional to 140,893.50 and 332,256.75 is: 783,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,893.50 : 332,256.75 = 332,256.75 : x
  2. Step 2: Convert to fraction form
    140,893.50/332,256.75 = 332,256.75/x
  3. Step 3: Cross multiply
    140,893.50x = 332,256.75 × 332,256.75
  4. Step 4: Simplify right side
    140,893.50x = 110,394,547,920.56
  5. Step 5: Solve for x
    x = 110,394,547,920.56/140,893.50
  6. Step 6: Final answer
    x = 783,531.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.