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Finding the Third Proportional to 159,456 and 335,436

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Solution

The third proportional to 159,456 and 335,436 is: 705,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456 : 335,436 = 335,436 : x
  2. Step 2: Convert to fraction form
    159,456/335,436 = 335,436/x
  3. Step 3: Cross multiply
    159,456x = 335,436 × 335,436
  4. Step 4: Simplify right side
    159,456x = 112,517,310,096
  5. Step 5: Solve for x
    x = 112,517,310,096/159,456
  6. Step 6: Final answer
    x = 705,632.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.