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Finding the Third Proportional to 161,796 and 241,446

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Solution

The third proportional to 161,796 and 241,446 is: 360,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,796 : 241,446 = 241,446 : x
  2. Step 2: Convert to fraction form
    161,796/241,446 = 241,446/x
  3. Step 3: Cross multiply
    161,796x = 241,446 × 241,446
  4. Step 4: Simplify right side
    161,796x = 58,296,170,916
  5. Step 5: Solve for x
    x = 58,296,170,916/161,796
  6. Step 6: Final answer
    x = 360,306.63

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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.