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Finding the Third Proportional to 156,820.50 and 243,168.75

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Solution

The third proportional to 156,820.50 and 243,168.75 is: 377,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,820.50 : 243,168.75 = 243,168.75 : x
  2. Step 2: Convert to fraction form
    156,820.50/243,168.75 = 243,168.75/x
  3. Step 3: Cross multiply
    156,820.50x = 243,168.75 × 243,168.75
  4. Step 4: Simplify right side
    156,820.50x = 59,131,040,976.56
  5. Step 5: Solve for x
    x = 59,131,040,976.56/156,820.50
  6. Step 6: Final answer
    x = 377,061.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.