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Finding the Third Proportional to 148,751 and 223,451.50

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Solution

The third proportional to 148,751 and 223,451.50 is: 335,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,751 : 223,451.50 = 223,451.50 : x
  2. Step 2: Convert to fraction form
    148,751/223,451.50 = 223,451.50/x
  3. Step 3: Cross multiply
    148,751x = 223,451.50 × 223,451.50
  4. Step 4: Simplify right side
    148,751x = 49,930,572,852.25
  5. Step 5: Solve for x
    x = 49,930,572,852.25/148,751
  6. Step 6: Final answer
    x = 335,665.46

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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.