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Finding the Third Proportional to 161,906 and 241,197

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Solution

The third proportional to 161,906 and 241,197 is: 359,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906 : 241,197 = 241,197 : x
  2. Step 2: Convert to fraction form
    161,906/241,197 = 241,197/x
  3. Step 3: Cross multiply
    161,906x = 241,197 × 241,197
  4. Step 4: Simplify right side
    161,906x = 58,175,992,809
  5. Step 5: Solve for x
    x = 58,175,992,809/161,906
  6. Step 6: Final answer
    x = 359,319.56

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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.