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Finding the Third Proportional to 202,254.75 and 440,185.50

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Solution

The third proportional to 202,254.75 and 440,185.50 is: 958,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,254.75 : 440,185.50 = 440,185.50 : x
  2. Step 2: Convert to fraction form
    202,254.75/440,185.50 = 440,185.50/x
  3. Step 3: Cross multiply
    202,254.75x = 440,185.50 × 440,185.50
  4. Step 4: Simplify right side
    202,254.75x = 193,763,274,410.25
  5. Step 5: Solve for x
    x = 193,763,274,410.25/202,254.75
  6. Step 6: Final answer
    x = 958,015.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.