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Finding the Third Proportional to 162,518 and 259,521

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Solution

The third proportional to 162,518 and 259,521 is: 414,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,518 : 259,521 = 259,521 : x
  2. Step 2: Convert to fraction form
    162,518/259,521 = 259,521/x
  3. Step 3: Cross multiply
    162,518x = 259,521 × 259,521
  4. Step 4: Simplify right side
    162,518x = 67,351,149,441
  5. Step 5: Solve for x
    x = 67,351,149,441/162,518
  6. Step 6: Final answer
    x = 414,422.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.