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Finding the Third Proportional to 156,135.75 and 335,952.56

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Solution

The third proportional to 156,135.75 and 335,952.56 is: 722,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,135.75 : 335,952.56 = 335,952.56 : x
  2. Step 2: Convert to fraction form
    156,135.75/335,952.56 = 335,952.56/x
  3. Step 3: Cross multiply
    156,135.75x = 335,952.56 × 335,952.56
  4. Step 4: Simplify right side
    156,135.75x = 112,864,124,250.32
  5. Step 5: Solve for x
    x = 112,864,124,250.32/156,135.75
  6. Step 6: Final answer
    x = 722,858.95

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Why These Related Problems?

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