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Finding the Third Proportional to 230,934 and 355,881

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Solution

The third proportional to 230,934 and 355,881 is: 548,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,934 : 355,881 = 355,881 : x
  2. Step 2: Convert to fraction form
    230,934/355,881 = 355,881/x
  3. Step 3: Cross multiply
    230,934x = 355,881 × 355,881
  4. Step 4: Simplify right side
    230,934x = 126,651,286,161
  5. Step 5: Solve for x
    x = 126,651,286,161/230,934
  6. Step 6: Final answer
    x = 548,430.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.