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Finding the Third Proportional to 140,100 and 304,015

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Solution

The third proportional to 140,100 and 304,015 is: 659,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,100 : 304,015 = 304,015 : x
  2. Step 2: Convert to fraction form
    140,100/304,015 = 304,015/x
  3. Step 3: Cross multiply
    140,100x = 304,015 × 304,015
  4. Step 4: Simplify right side
    140,100x = 92,425,120,225
  5. Step 5: Solve for x
    x = 92,425,120,225/140,100
  6. Step 6: Final answer
    x = 659,708.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.