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Finding the Third Proportional to 156,829.50 and 244,606.50

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Solution

The third proportional to 156,829.50 and 244,606.50 is: 381,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,829.50 : 244,606.50 = 244,606.50 : x
  2. Step 2: Convert to fraction form
    156,829.50/244,606.50 = 244,606.50/x
  3. Step 3: Cross multiply
    156,829.50x = 244,606.50 × 244,606.50
  4. Step 4: Simplify right side
    156,829.50x = 59,832,339,842.25
  5. Step 5: Solve for x
    x = 59,832,339,842.25/156,829.50
  6. Step 6: Final answer
    x = 381,512.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.