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Finding the Third Proportional to 203,077.13 and 411,075

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Solution

The third proportional to 203,077.13 and 411,075 is: 832,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,077.13 : 411,075 = 411,075 : x
  2. Step 2: Convert to fraction form
    203,077.13/411,075 = 411,075/x
  3. Step 3: Cross multiply
    203,077.13x = 411,075 × 411,075
  4. Step 4: Simplify right side
    203,077.13x = 168,982,655,625
  5. Step 5: Solve for x
    x = 168,982,655,625/203,077.13
  6. Step 6: Final answer
    x = 832,110.73

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.