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Finding the Third Proportional to 251,934 and 352,221

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Solution

The third proportional to 251,934 and 352,221 is: 492,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,934 : 352,221 = 352,221 : x
  2. Step 2: Convert to fraction form
    251,934/352,221 = 352,221/x
  3. Step 3: Cross multiply
    251,934x = 352,221 × 352,221
  4. Step 4: Simplify right side
    251,934x = 124,059,632,841
  5. Step 5: Solve for x
    x = 124,059,632,841/251,934
  6. Step 6: Final answer
    x = 492,429.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.