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Finding the Third Proportional to 140,379 and 307,002

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Solution

The third proportional to 140,379 and 307,002 is: 671,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,379 : 307,002 = 307,002 : x
  2. Step 2: Convert to fraction form
    140,379/307,002 = 307,002/x
  3. Step 3: Cross multiply
    140,379x = 307,002 × 307,002
  4. Step 4: Simplify right side
    140,379x = 94,250,228,004
  5. Step 5: Solve for x
    x = 94,250,228,004/140,379
  6. Step 6: Final answer
    x = 671,398.34

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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.