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Finding the Third Proportional to 119,600 and 251,592

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Solution

The third proportional to 119,600 and 251,592 is: 529,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,600 : 251,592 = 251,592 : x
  2. Step 2: Convert to fraction form
    119,600/251,592 = 251,592/x
  3. Step 3: Cross multiply
    119,600x = 251,592 × 251,592
  4. Step 4: Simplify right side
    119,600x = 63,298,534,464
  5. Step 5: Solve for x
    x = 63,298,534,464/119,600
  6. Step 6: Final answer
    x = 529,251.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.