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Finding the Third Proportional to 204,252.75 and 314,993.25

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Solution

The third proportional to 204,252.75 and 314,993.25 is: 485,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,252.75 : 314,993.25 = 314,993.25 : x
  2. Step 2: Convert to fraction form
    204,252.75/314,993.25 = 314,993.25/x
  3. Step 3: Cross multiply
    204,252.75x = 314,993.25 × 314,993.25
  4. Step 4: Simplify right side
    204,252.75x = 99,220,747,545.56
  5. Step 5: Solve for x
    x = 99,220,747,545.56/204,252.75
  6. Step 6: Final answer
    x = 485,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.