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Finding the Third Proportional to 234,711 and 353,187

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Solution

The third proportional to 234,711 and 353,187 is: 531,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,711 : 353,187 = 353,187 : x
  2. Step 2: Convert to fraction form
    234,711/353,187 = 353,187/x
  3. Step 3: Cross multiply
    234,711x = 353,187 × 353,187
  4. Step 4: Simplify right side
    234,711x = 124,741,056,969
  5. Step 5: Solve for x
    x = 124,741,056,969/234,711
  6. Step 6: Final answer
    x = 531,466.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.