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Finding the Third Proportional to 156,843 and 243,040.50

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Solution

The third proportional to 156,843 and 243,040.50 is: 376,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,843 : 243,040.50 = 243,040.50 : x
  2. Step 2: Convert to fraction form
    156,843/243,040.50 = 243,040.50/x
  3. Step 3: Cross multiply
    156,843x = 243,040.50 × 243,040.50
  4. Step 4: Simplify right side
    156,843x = 59,068,684,640.25
  5. Step 5: Solve for x
    x = 59,068,684,640.25/156,843
  6. Step 6: Final answer
    x = 376,610.27

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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.