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Finding the Third Proportional to 159,450 and 335,424

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Solution

The third proportional to 159,450 and 335,424 is: 705,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,450 : 335,424 = 335,424 : x
  2. Step 2: Convert to fraction form
    159,450/335,424 = 335,424/x
  3. Step 3: Cross multiply
    159,450x = 335,424 × 335,424
  4. Step 4: Simplify right side
    159,450x = 112,509,259,776
  5. Step 5: Solve for x
    x = 112,509,259,776/159,450
  6. Step 6: Final answer
    x = 705,608.40

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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.