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Finding the Third Proportional to 156,780.56 and 333,790.88

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Solution

The third proportional to 156,780.56 and 333,790.88 is: 710,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780.56 : 333,790.88 = 333,790.88 : x
  2. Step 2: Convert to fraction form
    156,780.56/333,790.88 = 333,790.88/x
  3. Step 3: Cross multiply
    156,780.56x = 333,790.88 × 333,790.88
  4. Step 4: Simplify right side
    156,780.56x = 111,416,348,233.27
  5. Step 5: Solve for x
    x = 111,416,348,233.27/156,780.56
  6. Step 6: Final answer
    x = 710,651.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.