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Finding the Third Proportional to 140,304.75 and 308,634.38

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Solution

The third proportional to 140,304.75 and 308,634.38 is: 678,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,304.75 : 308,634.38 = 308,634.38 : x
  2. Step 2: Convert to fraction form
    140,304.75/308,634.38 = 308,634.38/x
  3. Step 3: Cross multiply
    140,304.75x = 308,634.38 × 308,634.38
  4. Step 4: Simplify right side
    140,304.75x = 95,255,177,431.64
  5. Step 5: Solve for x
    x = 95,255,177,431.64/140,304.75
  6. Step 6: Final answer
    x = 678,916.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.