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Finding the Third Proportional to 227,564 and 356,936

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Solution

The third proportional to 227,564 and 356,936 is: 559,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,564 : 356,936 = 356,936 : x
  2. Step 2: Convert to fraction form
    227,564/356,936 = 356,936/x
  3. Step 3: Cross multiply
    227,564x = 356,936 × 356,936
  4. Step 4: Simplify right side
    227,564x = 127,403,308,096
  5. Step 5: Solve for x
    x = 127,403,308,096/227,564
  6. Step 6: Final answer
    x = 559,857.04

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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.