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Finding the Third Proportional to 198,227.25 and 301,988.25

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Solution

The third proportional to 198,227.25 and 301,988.25 is: 460,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,227.25 : 301,988.25 = 301,988.25 : x
  2. Step 2: Convert to fraction form
    198,227.25/301,988.25 = 301,988.25/x
  3. Step 3: Cross multiply
    198,227.25x = 301,988.25 × 301,988.25
  4. Step 4: Simplify right side
    198,227.25x = 91,196,903,138.06
  5. Step 5: Solve for x
    x = 91,196,903,138.06/198,227.25
  6. Step 6: Final answer
    x = 460,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.