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Finding the Third Proportional to 162,508 and 259,504

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Solution

The third proportional to 162,508 and 259,504 is: 414,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,508 : 259,504 = 259,504 : x
  2. Step 2: Convert to fraction form
    162,508/259,504 = 259,504/x
  3. Step 3: Cross multiply
    162,508x = 259,504 × 259,504
  4. Step 4: Simplify right side
    162,508x = 67,342,326,016
  5. Step 5: Solve for x
    x = 67,342,326,016/162,508
  6. Step 6: Final answer
    x = 414,393.91

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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.