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Finding the Third Proportional to 140,967.75 and 303,941.44

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Solution

The third proportional to 140,967.75 and 303,941.44 is: 655,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,967.75 : 303,941.44 = 303,941.44 : x
  2. Step 2: Convert to fraction form
    140,967.75/303,941.44 = 303,941.44/x
  3. Step 3: Cross multiply
    140,967.75x = 303,941.44 × 303,941.44
  4. Step 4: Simplify right side
    140,967.75x = 92,380,397,429.57
  5. Step 5: Solve for x
    x = 92,380,397,429.57/140,967.75
  6. Step 6: Final answer
    x = 655,330.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.