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Finding the Third Proportional to 148,546 and 223,530

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Solution

The third proportional to 148,546 and 223,530 is: 336,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,546 : 223,530 = 223,530 : x
  2. Step 2: Convert to fraction form
    148,546/223,530 = 223,530/x
  3. Step 3: Cross multiply
    148,546x = 223,530 × 223,530
  4. Step 4: Simplify right side
    148,546x = 49,965,660,900
  5. Step 5: Solve for x
    x = 49,965,660,900/148,546
  6. Step 6: Final answer
    x = 336,364.90

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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.