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Finding the Third Proportional to 156,748.50 and 234,757.50

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Solution

The third proportional to 156,748.50 and 234,757.50 is: 351,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748.50 : 234,757.50 = 234,757.50 : x
  2. Step 2: Convert to fraction form
    156,748.50/234,757.50 = 234,757.50/x
  3. Step 3: Cross multiply
    156,748.50x = 234,757.50 × 234,757.50
  4. Step 4: Simplify right side
    156,748.50x = 55,111,083,806.25
  5. Step 5: Solve for x
    x = 55,111,083,806.25/156,748.50
  6. Step 6: Final answer
    x = 351,589.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.