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Finding the Third Proportional to 159,424 and 335,376

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Solution

The third proportional to 159,424 and 335,376 is: 705,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,424 : 335,376 = 335,376 : x
  2. Step 2: Convert to fraction form
    159,424/335,376 = 335,376/x
  3. Step 3: Cross multiply
    159,424x = 335,376 × 335,376
  4. Step 4: Simplify right side
    159,424x = 112,477,061,376
  5. Step 5: Solve for x
    x = 112,477,061,376/159,424
  6. Step 6: Final answer
    x = 705,521.51

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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.