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Finding the Third Proportional to 227,203.31 and 356,491.13

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Solution

The third proportional to 227,203.31 and 356,491.13 is: 559,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,203.31 : 356,491.13 = 356,491.13 : x
  2. Step 2: Convert to fraction form
    227,203.31/356,491.13 = 356,491.13/x
  3. Step 3: Cross multiply
    227,203.31x = 356,491.13 × 356,491.13
  4. Step 4: Simplify right side
    227,203.31x = 127,085,922,203.77
  5. Step 5: Solve for x
    x = 127,085,922,203.77/227,203.31
  6. Step 6: Final answer
    x = 559,348.90

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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.