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Finding the Third Proportional to 227,442 and 356,745

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Solution

The third proportional to 227,442 and 356,745 is: 559,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,442 : 356,745 = 356,745 : x
  2. Step 2: Convert to fraction form
    227,442/356,745 = 356,745/x
  3. Step 3: Cross multiply
    227,442x = 356,745 × 356,745
  4. Step 4: Simplify right side
    227,442x = 127,266,995,025
  5. Step 5: Solve for x
    x = 127,266,995,025/227,442
  6. Step 6: Final answer
    x = 559,558.02

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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.