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Finding the Third Proportional to 161,898 and 241,182

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Solution

The third proportional to 161,898 and 241,182 is: 359,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,898 : 241,182 = 241,182 : x
  2. Step 2: Convert to fraction form
    161,898/241,182 = 241,182/x
  3. Step 3: Cross multiply
    161,898x = 241,182 × 241,182
  4. Step 4: Simplify right side
    161,898x = 58,168,757,124
  5. Step 5: Solve for x
    x = 58,168,757,124/161,898
  6. Step 6: Final answer
    x = 359,292.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.