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Finding the Third Proportional to 227,372 and 356,678

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Solution

The third proportional to 227,372 and 356,678 is: 559,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,372 : 356,678 = 356,678 : x
  2. Step 2: Convert to fraction form
    227,372/356,678 = 356,678/x
  3. Step 3: Cross multiply
    227,372x = 356,678 × 356,678
  4. Step 4: Simplify right side
    227,372x = 127,219,195,684
  5. Step 5: Solve for x
    x = 127,219,195,684/227,372
  6. Step 6: Final answer
    x = 559,520.06

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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.