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Finding the Third Proportional to 140,647.64 and 331,808.91

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Solution

The third proportional to 140,647.64 and 331,808.91 is: 782,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,647.64 : 331,808.91 = 331,808.91 : x
  2. Step 2: Convert to fraction form
    140,647.64/331,808.91 = 331,808.91/x
  3. Step 3: Cross multiply
    140,647.64x = 331,808.91 × 331,808.91
  4. Step 4: Simplify right side
    140,647.64x = 110,097,150,266.82
  5. Step 5: Solve for x
    x = 110,097,150,266.82/140,647.64
  6. Step 6: Final answer
    x = 782,787.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.