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Finding the Third Proportional to 198,288 and 307,145.25

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Solution

The third proportional to 198,288 and 307,145.25 is: 475,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,288 : 307,145.25 = 307,145.25 : x
  2. Step 2: Convert to fraction form
    198,288/307,145.25 = 307,145.25/x
  3. Step 3: Cross multiply
    198,288x = 307,145.25 × 307,145.25
  4. Step 4: Simplify right side
    198,288x = 94,338,204,597.56
  5. Step 5: Solve for x
    x = 94,338,204,597.56/198,288
  6. Step 6: Final answer
    x = 475,763.56

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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.