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Finding the Third Proportional to 140,585.63 and 200,361.09

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Solution

The third proportional to 140,585.63 and 200,361.09 is: 285,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,585.63 : 200,361.09 = 200,361.09 : x
  2. Step 2: Convert to fraction form
    140,585.63/200,361.09 = 200,361.09/x
  3. Step 3: Cross multiply
    140,585.63x = 200,361.09 × 200,361.09
  4. Step 4: Simplify right side
    140,585.63x = 40,144,567,888.70
  5. Step 5: Solve for x
    x = 40,144,567,888.70/140,585.63
  6. Step 6: Final answer
    x = 285,552.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.