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Finding the Third Proportional to 140,551.88 and 309,092.63

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Solution

The third proportional to 140,551.88 and 309,092.63 is: 679,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,551.88 : 309,092.63 = 309,092.63 : x
  2. Step 2: Convert to fraction form
    140,551.88/309,092.63 = 309,092.63/x
  3. Step 3: Cross multiply
    140,551.88x = 309,092.63 × 309,092.63
  4. Step 4: Simplify right side
    140,551.88x = 95,538,250,829.39
  5. Step 5: Solve for x
    x = 95,538,250,829.39/140,551.88
  6. Step 6: Final answer
    x = 679,736.58

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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.