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Finding the Third Proportional to 198,003 and 262,554.75

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Solution

The third proportional to 198,003 and 262,554.75 is: 348,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,003 : 262,554.75 = 262,554.75 : x
  2. Step 2: Convert to fraction form
    198,003/262,554.75 = 262,554.75/x
  3. Step 3: Cross multiply
    198,003x = 262,554.75 × 262,554.75
  4. Step 4: Simplify right side
    198,003x = 68,934,996,747.56
  5. Step 5: Solve for x
    x = 68,934,996,747.56/198,003
  6. Step 6: Final answer
    x = 348,151.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.