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Finding the Third Proportional to 234,934 and 355,682

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Solution

The third proportional to 234,934 and 355,682 is: 538,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,934 : 355,682 = 355,682 : x
  2. Step 2: Convert to fraction form
    234,934/355,682 = 355,682/x
  3. Step 3: Cross multiply
    234,934x = 355,682 × 355,682
  4. Step 4: Simplify right side
    234,934x = 126,509,685,124
  5. Step 5: Solve for x
    x = 126,509,685,124/234,934
  6. Step 6: Final answer
    x = 538,490.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.