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Finding the Third Proportional to 148,777.50 and 223,491

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Solution

The third proportional to 148,777.50 and 223,491 is: 335,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,777.50 : 223,491 = 223,491 : x
  2. Step 2: Convert to fraction form
    148,777.50/223,491 = 223,491/x
  3. Step 3: Cross multiply
    148,777.50x = 223,491 × 223,491
  4. Step 4: Simplify right side
    148,777.50x = 49,948,227,081
  5. Step 5: Solve for x
    x = 49,948,227,081/148,777.50
  6. Step 6: Final answer
    x = 335,724.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.