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Finding the Third Proportional to 190,606.50 and 443,157.75

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Solution

The third proportional to 190,606.50 and 443,157.75 is: 1,030,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,606.50 : 443,157.75 = 443,157.75 : x
  2. Step 2: Convert to fraction form
    190,606.50/443,157.75 = 443,157.75/x
  3. Step 3: Cross multiply
    190,606.50x = 443,157.75 × 443,157.75
  4. Step 4: Simplify right side
    190,606.50x = 196,388,791,385.06
  5. Step 5: Solve for x
    x = 196,388,791,385.06/190,606.50
  6. Step 6: Final answer
    x = 1,030,336.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.