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Finding the Third Proportional to 148,823 and 212,734

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Solution

The third proportional to 148,823 and 212,734 is: 304,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,823 : 212,734 = 212,734 : x
  2. Step 2: Convert to fraction form
    148,823/212,734 = 212,734/x
  3. Step 3: Cross multiply
    148,823x = 212,734 × 212,734
  4. Step 4: Simplify right side
    148,823x = 45,255,754,756
  5. Step 5: Solve for x
    x = 45,255,754,756/148,823
  6. Step 6: Final answer
    x = 304,091.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.