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Finding the Third Proportional to 169,541 and 230,885

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Solution

The third proportional to 169,541 and 230,885 is: 314,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,541 : 230,885 = 230,885 : x
  2. Step 2: Convert to fraction form
    169,541/230,885 = 230,885/x
  3. Step 3: Cross multiply
    169,541x = 230,885 × 230,885
  4. Step 4: Simplify right side
    169,541x = 53,307,883,225
  5. Step 5: Solve for x
    x = 53,307,883,225/169,541
  6. Step 6: Final answer
    x = 314,424.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.