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Finding the Third Proportional to 204,293.25 and 317,065.50

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Solution

The third proportional to 204,293.25 and 317,065.50 is: 492,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,293.25 : 317,065.50 = 317,065.50 : x
  2. Step 2: Convert to fraction form
    204,293.25/317,065.50 = 317,065.50/x
  3. Step 3: Cross multiply
    204,293.25x = 317,065.50 × 317,065.50
  4. Step 4: Simplify right side
    204,293.25x = 100,530,531,290.25
  5. Step 5: Solve for x
    x = 100,530,531,290.25/204,293.25
  6. Step 6: Final answer
    x = 492,089.34

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Why These Related Problems?

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