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Finding the Third Proportional to 227,474.50 and 356,809.50

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Solution

The third proportional to 227,474.50 and 356,809.50 is: 559,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,474.50 : 356,809.50 = 356,809.50 : x
  2. Step 2: Convert to fraction form
    227,474.50/356,809.50 = 356,809.50/x
  3. Step 3: Cross multiply
    227,474.50x = 356,809.50 × 356,809.50
  4. Step 4: Simplify right side
    227,474.50x = 127,313,019,290.25
  5. Step 5: Solve for x
    x = 127,313,019,290.25/227,474.50
  6. Step 6: Final answer
    x = 559,680.40

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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.