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Finding the Third Proportional to 200,958.39 and 431,056.85

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Solution

The third proportional to 200,958.39 and 431,056.85 is: 924,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,958.39 : 431,056.85 = 431,056.85 : x
  2. Step 2: Convert to fraction form
    200,958.39/431,056.85 = 431,056.85/x
  3. Step 3: Cross multiply
    200,958.39x = 431,056.85 × 431,056.85
  4. Step 4: Simplify right side
    200,958.39x = 185,810,004,227.56
  5. Step 5: Solve for x
    x = 185,810,004,227.56/200,958.39
  6. Step 6: Final answer
    x = 924,619.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.