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Finding the Third Proportional to 227,439.94 and 356,742.28

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Solution

The third proportional to 227,439.94 and 356,742.28 is: 559,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,439.94 : 356,742.28 = 356,742.28 : x
  2. Step 2: Convert to fraction form
    227,439.94/356,742.28 = 356,742.28/x
  3. Step 3: Cross multiply
    227,439.94x = 356,742.28 × 356,742.28
  4. Step 4: Simplify right side
    227,439.94x = 127,265,055,231.45
  5. Step 5: Solve for x
    x = 127,265,055,231.45/227,439.94
  6. Step 6: Final answer
    x = 559,554.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.