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Finding the Third Proportional to 204,133.50 and 317,378.25

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Solution

The third proportional to 204,133.50 and 317,378.25 is: 493,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,133.50 : 317,378.25 = 317,378.25 : x
  2. Step 2: Convert to fraction form
    204,133.50/317,378.25 = 317,378.25/x
  3. Step 3: Cross multiply
    204,133.50x = 317,378.25 × 317,378.25
  4. Step 4: Simplify right side
    204,133.50x = 100,728,953,573.06
  5. Step 5: Solve for x
    x = 100,728,953,573.06/204,133.50
  6. Step 6: Final answer
    x = 493,446.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.