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Finding the Third Proportional to 176,846 and 270,433

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Solution

The third proportional to 176,846 and 270,433 is: 413,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,846 : 270,433 = 270,433 : x
  2. Step 2: Convert to fraction form
    176,846/270,433 = 270,433/x
  3. Step 3: Cross multiply
    176,846x = 270,433 × 270,433
  4. Step 4: Simplify right side
    176,846x = 73,134,007,489
  5. Step 5: Solve for x
    x = 73,134,007,489/176,846
  6. Step 6: Final answer
    x = 413,546.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.