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Finding the Third Proportional to 190,369.50 and 450,996

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Solution

The third proportional to 190,369.50 and 450,996 is: 1,068,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,369.50 : 450,996 = 450,996 : x
  2. Step 2: Convert to fraction form
    190,369.50/450,996 = 450,996/x
  3. Step 3: Cross multiply
    190,369.50x = 450,996 × 450,996
  4. Step 4: Simplify right side
    190,369.50x = 203,397,392,016
  5. Step 5: Solve for x
    x = 203,397,392,016/190,369.50
  6. Step 6: Final answer
    x = 1,068,434.77

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.