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Finding the Third Proportional to 140,949 and 307,336

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Solution

The third proportional to 140,949 and 307,336 is: 670,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,949 : 307,336 = 307,336 : x
  2. Step 2: Convert to fraction form
    140,949/307,336 = 307,336/x
  3. Step 3: Cross multiply
    140,949x = 307,336 × 307,336
  4. Step 4: Simplify right side
    140,949x = 94,455,416,896
  5. Step 5: Solve for x
    x = 94,455,416,896/140,949
  6. Step 6: Final answer
    x = 670,138.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.