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Finding the Third Proportional to 162,504 and 259,497

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Solution

The third proportional to 162,504 and 259,497 is: 414,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,504 : 259,497 = 259,497 : x
  2. Step 2: Convert to fraction form
    162,504/259,497 = 259,497/x
  3. Step 3: Cross multiply
    162,504x = 259,497 × 259,497
  4. Step 4: Simplify right side
    162,504x = 67,338,693,009
  5. Step 5: Solve for x
    x = 67,338,693,009/162,504
  6. Step 6: Final answer
    x = 414,381.76

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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.