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Finding the Third Proportional to 162,983 and 259,325

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Solution

The third proportional to 162,983 and 259,325 is: 412,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,983 : 259,325 = 259,325 : x
  2. Step 2: Convert to fraction form
    162,983/259,325 = 259,325/x
  3. Step 3: Cross multiply
    162,983x = 259,325 × 259,325
  4. Step 4: Simplify right side
    162,983x = 67,249,455,625
  5. Step 5: Solve for x
    x = 67,249,455,625/162,983
  6. Step 6: Final answer
    x = 412,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.