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Finding the Third Proportional to 154,206.28 and 356,965.73

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Solution

The third proportional to 154,206.28 and 356,965.73 is: 826,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,206.28 : 356,965.73 = 356,965.73 : x
  2. Step 2: Convert to fraction form
    154,206.28/356,965.73 = 356,965.73/x
  3. Step 3: Cross multiply
    154,206.28x = 356,965.73 × 356,965.73
  4. Step 4: Simplify right side
    154,206.28x = 127,424,535,517.88
  5. Step 5: Solve for x
    x = 127,424,535,517.88/154,206.28
  6. Step 6: Final answer
    x = 826,325.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.