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Finding the Third Proportional to 147,717 and 221,523

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Solution

The third proportional to 147,717 and 221,523 is: 332,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,717 : 221,523 = 221,523 : x
  2. Step 2: Convert to fraction form
    147,717/221,523 = 221,523/x
  3. Step 3: Cross multiply
    147,717x = 221,523 × 221,523
  4. Step 4: Simplify right side
    147,717x = 49,072,439,529
  5. Step 5: Solve for x
    x = 49,072,439,529/147,717
  6. Step 6: Final answer
    x = 332,205.77

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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.