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Finding the Third Proportional to 203,080.50 and 307,266.75

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Solution

The third proportional to 203,080.50 and 307,266.75 is: 464,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,080.50 : 307,266.75 = 307,266.75 : x
  2. Step 2: Convert to fraction form
    203,080.50/307,266.75 = 307,266.75/x
  3. Step 3: Cross multiply
    203,080.50x = 307,266.75 × 307,266.75
  4. Step 4: Simplify right side
    203,080.50x = 94,412,855,655.56
  5. Step 5: Solve for x
    x = 94,412,855,655.56/203,080.50
  6. Step 6: Final answer
    x = 464,903.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.