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Finding the Third Proportional to 148,191.75 and 349,662.38

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Solution

The third proportional to 148,191.75 and 349,662.38 is: 825,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,191.75 : 349,662.38 = 349,662.38 : x
  2. Step 2: Convert to fraction form
    148,191.75/349,662.38 = 349,662.38/x
  3. Step 3: Cross multiply
    148,191.75x = 349,662.38 × 349,662.38
  4. Step 4: Simplify right side
    148,191.75x = 122,263,776,490.64
  5. Step 5: Solve for x
    x = 122,263,776,490.64/148,191.75
  6. Step 6: Final answer
    x = 825,037.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.