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Finding the Third Proportional to 148,740.05 and 226,596.68

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Solution

The third proportional to 148,740.05 and 226,596.68 is: 345,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,740.05 : 226,596.68 = 226,596.68 : x
  2. Step 2: Convert to fraction form
    148,740.05/226,596.68 = 226,596.68/x
  3. Step 3: Cross multiply
    148,740.05x = 226,596.68 × 226,596.68
  4. Step 4: Simplify right side
    148,740.05x = 51,346,056,573.12
  5. Step 5: Solve for x
    x = 51,346,056,573.12/148,740.05
  6. Step 6: Final answer
    x = 345,206.67

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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.