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Finding the Third Proportional to 234,927 and 355,672

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Solution

The third proportional to 234,927 and 355,672 is: 538,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,927 : 355,672 = 355,672 : x
  2. Step 2: Convert to fraction form
    234,927/355,672 = 355,672/x
  3. Step 3: Cross multiply
    234,927x = 355,672 × 355,672
  4. Step 4: Simplify right side
    234,927x = 126,502,571,584
  5. Step 5: Solve for x
    x = 126,502,571,584/234,927
  6. Step 6: Final answer
    x = 538,476.09

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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.