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Finding the Third Proportional to 140,032 and 307,279

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Solution

The third proportional to 140,032 and 307,279 is: 674,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,032 : 307,279 = 307,279 : x
  2. Step 2: Convert to fraction form
    140,032/307,279 = 307,279/x
  3. Step 3: Cross multiply
    140,032x = 307,279 × 307,279
  4. Step 4: Simplify right side
    140,032x = 94,420,383,841
  5. Step 5: Solve for x
    x = 94,420,383,841/140,032
  6. Step 6: Final answer
    x = 674,277.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.