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Finding the Third Proportional to 159,596 and 326,482

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Solution

The third proportional to 159,596 and 326,482 is: 667,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,596 : 326,482 = 326,482 : x
  2. Step 2: Convert to fraction form
    159,596/326,482 = 326,482/x
  3. Step 3: Cross multiply
    159,596x = 326,482 × 326,482
  4. Step 4: Simplify right side
    159,596x = 106,590,496,324
  5. Step 5: Solve for x
    x = 106,590,496,324/159,596
  6. Step 6: Final answer
    x = 667,876.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.