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Finding the Third Proportional to 156,012 and 242,016

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Solution

The third proportional to 156,012 and 242,016 is: 375,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,012 : 242,016 = 242,016 : x
  2. Step 2: Convert to fraction form
    156,012/242,016 = 242,016/x
  3. Step 3: Cross multiply
    156,012x = 242,016 × 242,016
  4. Step 4: Simplify right side
    156,012x = 58,571,744,256
  5. Step 5: Solve for x
    x = 58,571,744,256/156,012
  6. Step 6: Final answer
    x = 375,431.02

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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.