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Finding the Third Proportional to 152,956.50 and 246,247.50

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Solution

The third proportional to 152,956.50 and 246,247.50 is: 396,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.50 : 246,247.50 = 246,247.50 : x
  2. Step 2: Convert to fraction form
    152,956.50/246,247.50 = 246,247.50/x
  3. Step 3: Cross multiply
    152,956.50x = 246,247.50 × 246,247.50
  4. Step 4: Simplify right side
    152,956.50x = 60,637,831,256.25
  5. Step 5: Solve for x
    x = 60,637,831,256.25/152,956.50
  6. Step 6: Final answer
    x = 396,438.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.