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Finding the Third Proportional to 156,135.19 and 335,951.63

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Solution

The third proportional to 156,135.19 and 335,951.63 is: 722,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,135.19 : 335,951.63 = 335,951.63 : x
  2. Step 2: Convert to fraction form
    156,135.19/335,951.63 = 335,951.63/x
  3. Step 3: Cross multiply
    156,135.19x = 335,951.63 × 335,951.63
  4. Step 4: Simplify right side
    156,135.19x = 112,863,494,340.14
  5. Step 5: Solve for x
    x = 112,863,494,340.14/156,135.19
  6. Step 6: Final answer
    x = 722,857.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.