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Finding the Third Proportional to 204,540.75 and 437,510.25

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Solution

The third proportional to 204,540.75 and 437,510.25 is: 935,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,540.75 : 437,510.25 = 437,510.25 : x
  2. Step 2: Convert to fraction form
    204,540.75/437,510.25 = 437,510.25/x
  3. Step 3: Cross multiply
    204,540.75x = 437,510.25 × 437,510.25
  4. Step 4: Simplify right side
    204,540.75x = 191,415,218,855.06
  5. Step 5: Solve for x
    x = 191,415,218,855.06/204,540.75
  6. Step 6: Final answer
    x = 935,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.