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Finding the Third Proportional to 156,000.75 and 247,953.75

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Solution

The third proportional to 156,000.75 and 247,953.75 is: 394,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,000.75 : 247,953.75 = 247,953.75 : x
  2. Step 2: Convert to fraction form
    156,000.75/247,953.75 = 247,953.75/x
  3. Step 3: Cross multiply
    156,000.75x = 247,953.75 × 247,953.75
  4. Step 4: Simplify right side
    156,000.75x = 61,481,062,139.06
  5. Step 5: Solve for x
    x = 61,481,062,139.06/156,000.75
  6. Step 6: Final answer
    x = 394,107.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.