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Finding the Third Proportional to 162,198 and 258,285

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Solution

The third proportional to 162,198 and 258,285 is: 411,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,198 : 258,285 = 258,285 : x
  2. Step 2: Convert to fraction form
    162,198/258,285 = 258,285/x
  3. Step 3: Cross multiply
    162,198x = 258,285 × 258,285
  4. Step 4: Simplify right side
    162,198x = 66,711,141,225
  5. Step 5: Solve for x
    x = 66,711,141,225/162,198
  6. Step 6: Final answer
    x = 411,294.47

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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.